  The calculation of the He4 energy and specific heat is carried out in a wide
temperature range within the two-time temperature Green functions approach. The
approximation improving the random phase approximation is developed providing
the correct behaviour of the calculated specific heat at the temperatures $0 <
T/T_c < 0.65$ and $T/T_c> 1.32$ where $T_c$ stands for the phase transition
point.
