Atkin-Lehner |
2- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41140j |
Isogeny class |
Conductor |
41140 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
123552 |
Modular degree for the optimal curve |
Δ |
4664449250560 = 28 · 5 · 118 · 17 |
Discriminant |
Eigenvalues |
2- 3 5+ 0 11- 0 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10648,-409948] |
[a1,a2,a3,a4,a6] |
j |
2433024/85 |
j-invariant |
L |
4.2389298703165 |
L(r)(E,1)/r! |
Ω |
0.47099220781378 |
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 |
41140e1 |
Quadratic twists by: -11 |