  Using the form of N=2 superconformal invariants we derive the explicit
relation between the bottom and top components of the correlator of four
stress-tensor multiplets in N=4 Super Yang-Mills. The result is given in terms
of an eighth order differential operator acting on the function of two
variables which characterises these correlators. It allows us to show a
non-trivial consistency relation between the known results for the
corresponding supergravity amplitudes on AdS5.
