The present invention relates to apparatus and methods for endovascularly delivering and releasing a prosthesis, e.g., an aortic prosthesis, within and/or across a patient's native heart valve, referred to hereinafter as replacing the patient's heart valve. In some embodiments the delivery system comprises a plurality of first actuatable element adapted to engage a plurality of second elements in a first configuration to capture the implant within the delivery system, and wherein the plurality of first actuatable element are adapted to engage the plurality of second elements in a second configuration and to release the implant from the delivery system.