  We probe the existence of supersymmetric vacua of the type IIB orientifold of
the elliptic Calabi-Yau space P_{11169}[18] where generically two complex
structure moduli z_i, the dilaton tau and the two K\"ahler moduli T_i are
stabilized by fluxes and gaugino condensates. The usual KKLT procedure, which
integrates out the complex structure moduli and the dilaton, actually has to be
modified, such that one keeps the dependence on tau. We derive explicitely the
resulting effective superpotential W_{eff}(tau) for the dilaton for various
flux combinations. As this is actually a non-holomorphic quantity one must
properly work with the G-function. The remaining SUSY equations for tau and the
T_i can be resolved explicitely.
