The authors study cooperative effects on the fluorescence spectrum of several atoms in an intense radiation field. In the secular approximation the spectrum contains three lines, as in the single-atom case. The authors evaluate the strengths of these lines for an arbitrary number of atoms without collisions. In the case of two atoms, collisional interactions with a perturber bath are included. The interatomic coherence in the absence of collisions leads to an enhancement of the line strengths, which is most pronounced for the central Rayleigh line. When collisions are present, the strengths of the two sidebands can actually be diminished by the cooperative effects.