Atkin-Lehner |
5- 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
92365h |
Isogeny class |
Conductor |
92365 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1376256 |
Modular degree for the optimal curve |
Δ |
37075064277290585 = 5 · 714 · 13 · 292 |
Discriminant |
Eigenvalues |
-1 2 5- 7- 2 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1137340,-467238668] |
[a1,a2,a3,a4,a6] |
j |
1382949865068368689/315132846665 |
j-invariant |
L |
2.6315122680102 |
L(r)(E,1)/r! |
Ω |
0.14619513240485 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13195b1 |
Quadratic twists by: -7 |