  Let $\ell\in\mathbb{N}$ with $\ell>2$ and $I:=\mathbb{Z}/2\ell\mathbb{Z}$. In
this paper we give a new realization of the crystal of affine
$\widehat{\mathfrak{sl}}_{\ell}$ using the modular representation theory of the
affine Hecke algebras $H_n$ of type $A$ and their level two cyclotomic
quotients with Hecke parameter being a primitive $2\ell$th root of unity. We
realized the Kashiwara operators for the crystal as the functors of taking
socle of certain two-steps restriction and of taking head of certain two-steps
induction. For any finite dimensional irreducible $H_n$-module $M$, we prove
that the irreducible submodules of $\rm{res}_{H_{n-2}}^{H_n}M$ which belong to
$\widehat{B}(\infty)$ (Definition 6.1) occur with multiplicity two. The main
results generalize the earlier work of Grojnowski and Vazirani on the relations
between the crystal of affine $\widehat{\mathfrak{sl}}_{\ell}$ and the affine
Hecke algebras of type $A$ at a primitive $\ell$th root of unity.
