  The concept of local concurrence is used to quantify the entanglement between
a single qubit and the remainder of a multi-qubit system. For the ground state
of the BCS model in the thermodynamic limit the set of local concurrences
completely describe the entanglement. As a measure for the entanglement of the
full system we investigate the Average Local Concurrence (ALC). We find that
the ALC satisfies a simple relation with the order parameter. We then show that
for finite systems with fixed particle number, a relation between the ALC and
the condensation energy exposes a threshold coupling. Below the threshold,
entanglement measures besides the ALC are significant.
