Antiferromagnetic Correlations versus Superfluid Density in La_{2-x}Sr_xCuO_4

We have performed muon spin relaxation and low field ac-susceptibility measurements in a series of high quality samples of La_{2-x}Sr_xCuO_4 (x=0.08-0.24) as a function of temperature. Superconductivity is found to coexist with low temperature spin glass order up to the optimally doped region where the normal state pseudogap also closes. The systematic depletion of the superfluid density with the enhancement of aniferromagnetic correlations with underdoping indicates a competition between antiferromagnetic correlations and superconductivity.