A parking lock for a transmission of a motor vehicle having an interlocking element of a connecting rod that is biased against a parking lock disengagement direction to bring and keep a ratchet tooth of a locking pawl in engagement with a tooth space of a parking interlock gear during an engagement of the parking lock. The connecting rod is provided a spring force acting in a parking lock engagement direction from an inserting spring and a compressive force acting in the parking lock disengagement direction from a hydraulically actuatable actuator having first piston pressurizable to disengage the parking lock. A detent device actuatable by an electromagnet mechanically fixes the first piston in either a latched or unlatched piston position associated with an engaged or disengaged position of the parking lock, respectively. A system determines a current engagement position of the detent device by assessing an inductance at the electromagnet.