For orders with prime conductor, elasticity equals half the Davenport constant of the class group, except when the conductor is principal and a lifting condition holds, where it is half plus one half.
Elasticity of factorizations in atomic monoids and integral domains
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Elasticity of Orders with Prime Conductor
For orders with prime conductor, elasticity equals half the Davenport constant of the class group, except when the conductor is principal and a lifting condition holds, where it is half plus one half.