We first normalize the derivative Weierstrass ββ²-function appearing in
Weierstrass equations which give rise to analytic parametrizations of elliptic
curves by the Dedekind Ξ·-function. And, by making use of this
normalization of ββ² we associate certain elliptic curve to a given
imaginary quadratic field K and then generate an infinite family of ray class
fields over K by adjoining to K torsion points of such elliptic curve. We
further construct some ray class invariants of imaginary quadratic fields by
utilizing singular values of the normalization of ββ², as the y-coordinate
in the Weierstrass equation of this elliptic curve, which would be a partial
result for the Lang-Schertz conjecture of constructing ray class fields over
K by means of the Siegel-Ramachandra invariant