Beilinson has defined Eisenstein classes in motivic cohomology, which can be used to prove the Beilinson-Bloch-Kato conjecture on spe- cial values of L-functions of modular forms, algebraic Hecke characters of imaginary quadratic fields and certain Rankin-Selberg convolutions of modular forms. To calculate their image in syntomic cohomology is necessary to prove the p-adic analogue of the Beilinson conjecture for special values of p-adic L-functions, which was formulated by Perrin- Riou. In this lecture we show how the syntomic Eisenstein class can be calculated by explicit p-adic Eisenstein series of negative weight and discuss applications to special values of p-adic L-functions in the above mentioned situations.