  In this paper, we introduce two kinds of Lie conformal algebras associated
with the loop Schr\"odinger-Virasoro Lie algebra and the extended loop
Schr\"odinger-Virasoro Lie algebra, respectively. The conformal derivations,
the second cohomology groups of these two conformal algebras are completely
determined. And nontrivial free conformal modules of rank one and Z-graded free
intermediate series modules over these two conformal algebras are also
classified in the present paper
