  Let E be an elliptic curved defined over $\Q$ and let $K/\Q$ be a finite
Galois extension with Galois group G. The equivariant Birch-Swinnerton-Dyer
conjecture for $h^1(E\times_{\Q} K)(1)$ viewed as a motive over $\Q$ with
coefficients in $\Q[G]$ relates the twisted L-values associated with E with the
arithmetic invariants of the same. In this paper we prescribe an approach to
verify this conjecture for a given data. Using this approach, we verify the
conjecture for an elliptic curve of conductor 11 and an S_3-extension of $\Q$.
