We don't know what the drivetrain losses are, nor do we know the conversion efficiency of the battery power to motive power at the motor outputs, so there's no easy way to determine this data at the "crank," unless Tesla tells us (what the source of the 450HP/472lb-ft numbers quoted on initial Performance release were from, I do not know - but that's the only benchmark published "crank" number I have seen). We can only establish a lower limit on the result based on the acceleration data and the reduction ratio (which is close to but not exactly 9:1 from what I understand). And Tesla does not talk about these HP/torque numbers - they prefer to provide 0-60 times (which seems more relevant anyway, and is advantageous (more fair - notwithstanding their inconsistent treatment of Performance and AWD 0-60 times...) to them since they do have lower drivetrain losses than all ICE vehicles).
The
minimum net torque value including both motor outputs, assuming 9:1 reduction, after the first 5% boost (assuming
no drivetrain losses) is about:
0.86*9.81m/s^2*4250lbs * 13.23in /9 = 448ft-lbs
0.86*9.81m/s^2 * 4250lb * 13.23in/9 in lb-ft - Wolfram|Alpha
The 0.86g is the measured acceleration using a VBOX, for a Performance Model 3 with 20-inch wheels, after the first "5%" power (and torque) boost.
So assuming 5-10% losses, 472lb-ft to 498lb-ft of torque.