The central elements of $E_{q,p}(\widehat{s{l}_2}{)}_k$ with the critical level

In this paper we generalize certain results concerning quantum affine algebra $U_q(\widehat{s{l}_2})$ at the critical level to the corresponding elliptic case $E_{q,p}(\widehat{s{l}_2})$. Using the Wakimoto realization of the algebra $E_{q,p}(\widehat{s{l}_2})$, we construct the central elements of it at the critical level. It turns out that the so called Drinfeld conjecture originally proposed for Kac-Moody algebras also holds for the elliptic quantum algebras.