  A well known result of Breulmann states that Hecke eigenvalues of
Saito-Kurokawa lifts are positive. In this article, we show that the Hecke
eigenvalues of an Ikeda lift at primes are positive. Further, we derive lower
and upper bounds of these Hecke eigenvalues for all primes $p$. One of the main
ingredients involves expressing the Hecke eigenvalues of an Ikeda lift in terms
of certain reciprocal polynomials.
