Most of the advice offered above is nonsense and will not work.
Your Audio Research PH3SE is designed for MC's and has 54db of gain.
According to the manual it will suit MC's from 0.25mv up. Your Rega Apheta is 0.35mv, well above the minimum output required.
Most moving magnet phono stages have about 40db. Your PH3SE does not have a moving magnet input.
The use of a 1:15/1:20 mc transformer will probably end up with too much gain.
You should try your Rega Apheta straight in first. There are binding posts inside on the circuit board to attach loading resistors to achieve the optimum load.
I would suggest you order some 100ohm, 400ohm resistors from somewhere to experiment in addition to the standard 47k input.