Magnetization measurements have been carried out for superconducting La1.45Nd0.40Sr0.15CuO4 in order to determine whether the the shape of the magnetization vs field (M vs Ii) curves for a stripe phase material are similar to classical superconductors and to other high temperature superconductors. Neutron scattering data have shown that this material is an antiphase domain antiferromagnet in which the holes collect in the domain walls of the antiphase domain structure. With this localization of holes, the superconducting order parameter might be space dependent and the vortex lattice might be different from ordinary Type II superconductors. A large region of thermodynamic reversibility is found, and the flux expulsion data show that this material is a good bulk superconductor with a free energy difference between the superconducting and normal state very similar to a classical superconductor like Nb. The shape of the magnetization curves (M vs H), however, has a double peak structure that is quite different from the predictions of classical Type II behavior and different from Y(123).