Atkin-Lehner |
5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
122525i |
Isogeny class |
Conductor |
122525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
103069341400390625 = 59 · 137 · 292 |
Discriminant |
Eigenvalues |
1 2 5+ 0 -6 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-183875,-26200000] |
[a1,a2,a3,a4,a6] |
j |
9116230969/1366625 |
j-invariant |
L |
0.93147213786378 |
L(r)(E,1)/r! |
Ω |
0.23286783303212 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24505f1 9425c1 |
Quadratic twists by: 5 13 |