The piece, which lasts unbroken for over an hour, was originally written by Conrad as a soundtrack to accompany Piero Heliczer's short film of the same name.
Joan of Arc is something of a stylistic departure for Conrad, who is best known for his work with minimalist violin, exemplified by his most famous album Outside the Dream Syndicate.
Joan of Arc instead showcases Conrad's improvisational technique on the pump organ.
The album is one of a series of lost-and-found minimalist recordings released by the independent label Table of the Elements.
Conrad originally recorded the piece in 1968 for the soundtrack to Piero Heliczar's 11 minute short film Joan of Arc.