A jet engine nacelle for a supersonic aircraft may include an air inlet structure that has an inlet face with an elliptical conical cross section. The elliptical conical cross section is defined by the intersection of a conical shock wave generated by a conical compression ramp and a first plane. The first plane is inclined with respect to a second plane that is orthogonal to a longitudinal general direction of the nacelle so that the free side of the inlet face is set back, in the air inlet direction, with respect to the opposite side intended to face the aircraft.