We derive many new identities involving the Ramanujan-Göllnitz-Gordon continued fraction H(q). These include relations between H(q) and H(q n ) , which are established using modular equations of degree n. We also evaluate explicitly H(q) at q = e - pÖn /2q=e−n2 for various positive integers n. Using results of M. Deuring, we show that H( ±e - pÖn /2 )H(e−n2) are units for all positive integers n.