As a by-product of [5], we produce algebraic integers of certain values of quotients of Eisenstein series. And we consider the relation of $Theta_3(0, au)$ and $Theta_3(0, au^n)$. That is,we show that $$mid$Theta_3(0, au^n)$mid$=$mid$Theta_3(0, au)$mid$,igtriangleup(0, au)=igtriangleup(0, au^n)$</TEX> and $J( au)=J( au^n)$ for some $ auineta$.