A division, found on a sample set of semi-stable elliptic curves, calls for interpretation regarding the Birch and Swinnerton-Dyer conjecture and the dynamic behavior of the L functions involved.

Actually, taken a sample of 30 semi-stable elliptic curves, their L functions can be generated, say, up to the 1000th term of each, respective, series expansion.

Afterward, the values taken by these truncated L series expansions at s = 1 (the point of interest in the Birch and Swinnerton-Dyer Conjecture) can all be calculated. In parallel, a statistical quantification of how fast the iterates of a function explode to infinity, namely, the escape rates can also be numerically evaluated for each one of these truncated series expansions, and the ordinal correlation between the correspondent results and the above mentioned values, at s = 1, established.

An ordinal correlation coefficient of about minus 0.76 was found, with statistical significance on a level of confidence 0.001.

Now, in what concerns escape rates, L functions show up clearly divided, or separated in two groups: those with high escape rates and those with low escape rates, the difference coming from the behavior on the right side of a critical, narrow strip, centered at about s = 1.

Hopefully, there will be an elementary answer for the following question:

Given the statistical significance of the correlation measured, what does this division, or separation mean, and what consequence can it have to the comprehension of L function's behavior near s = 1 ?