Let k be an imaginary quadratic field, η the complex upper half plane, and let $ au$ $in$ η $textsc{k}$, p = $e^{{pi}i{ au}}$. In this article, using the infinite product formulas for g2 and g3, we prove that values of certain infinite products are transcendental whenever $ au$ are imaginary quadratic. And we derive analogous results of Berndt-Chan-Zhang ([4]). Also we find the values of (equation omitted) when we know j($ au$). And we construct an elliptic curve E : $y^2$ = $x^3$ ＋ 3 $x^2$ ＋ {3-(j/256)}x ＋ 1 with j = j($ au$) $ eq$ 0 and P = (equation omitted) $in$ E.