Atkin-Lehner |
5+ 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
115885c |
Isogeny class |
Conductor |
115885 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8524800 |
Modular degree for the optimal curve |
Δ |
4707681299356853125 = 55 · 76 · 115 · 433 |
Discriminant |
Eigenvalues |
-2 -3 5+ 7- 11+ -5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1198393,494039964] |
[a1,a2,a3,a4,a6] |
j |
1617831409433849856/40014630803125 |
j-invariant |
L |
0.48707445466098 |
L(r)(E,1)/r! |
Ω |
0.24353727349368 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2365c1 |
Quadratic twists by: -7 |