While observing the audio output of my smartphone on the oscilloscope, I noticed a signal being generated when I touch the touchscreen. This signal is around 500Hz and appears in groups of 3 peaks, with intensity proportional to the skin/touchscreen contact area:

The output is from an AUX cable connected only to the probe.
At a lower level, a similar phenomenon occurs when I bring the palm of my hand close to the touch screen at a few millimeters away, somewhat like a theremin. However, I have never heard anything when I connect the smartphone to headphones, the car amplifier, or the guitar amplifier.
On the other hand, if I connect the audio output to the input of my battery-powered opamp RC4580 (no connection to the AC power grid), the undesired signal is perfectly audible with each touch of the screen. But if I touch GND with my finger, the signal disappears completely:

Output from RC4580 with a bit of ripple at 50Hz plus the aforementioned signal.
The circuit is a very simple inverting summing amplifier:

I have tried with a different model of smartphone, and the same problem occurs, but the buzzing has a different tone.
What could be the cause of this issue, and how could I solve it so that it is not amplified by the opamp? Thank you.
Audio recording of the interference

The output is from an AUX cable connected only to the probe.
At a lower level, a similar phenomenon occurs when I bring the palm of my hand close to the touch screen at a few millimeters away, somewhat like a theremin. However, I have never heard anything when I connect the smartphone to headphones, the car amplifier, or the guitar amplifier.
On the other hand, if I connect the audio output to the input of my battery-powered opamp RC4580 (no connection to the AC power grid), the undesired signal is perfectly audible with each touch of the screen. But if I touch GND with my finger, the signal disappears completely:

Output from RC4580 with a bit of ripple at 50Hz plus the aforementioned signal.
The circuit is a very simple inverting summing amplifier:

I have tried with a different model of smartphone, and the same problem occurs, but the buzzing has a different tone.
What could be the cause of this issue, and how could I solve it so that it is not amplified by the opamp? Thank you.
Audio recording of the interference