  In this article using the theory of Eisenstein series, we give rise to the
complete evaluation of two Gauss hypergeometric functions. Moreover we evaluate
the modulus of each of these functions and the values of the functions in terms
of the complete elliptic integral of the first kind. As application we give way
of how to evaluate the parameters, in a closed-well posed form, of a general
Ramanujan type $1/\pi$ formula. The result is a formula of 110 digits per term.
