  We give a new construction of the irregular, generalized Lagrangian, surfaces
of general type with p_g=5, \chi=2, K^2=8, recently discovered by Chad Schoen.
Our approach proves that, if S is a general Schoen surface, its canonical map
is a finite morphism of degree 2 onto a canonical surface with invariants
p_g=5, \chi=6, K^2=8, a complete intersection of a quadric and a quartic
hypersurface in P^4, with 40 even nodes.
