We construct, in the framework of QCD, the conformally invariant funct
ional whose maximal value gives the J-plane location of the leading si
ngularity of the t-channel partial waves in LLA for diagrams with n re
ggeized gluons. In the case of the odderon the wave function in the im
pact-parameter space depends on only one anharmonic ratio and the corr
esponding functional is significantly simplified. By using a variation
al method with conformal techniques we show that the odderon J-plane s
ingularity in the LLA approximation of QCD lies above 1.