Atkin-Lehner |
2- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
41912i |
Isogeny class |
Conductor |
41912 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-2394097264 = -1 · 24 · 136 · 31 |
Discriminant |
Eigenvalues |
2- -2 -1 3 2 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,2341] |
[a1,a2,a3,a4,a6] |
Generators |
[30:169:1] |
Generators of the group modulo torsion |
j |
-256/31 |
j-invariant |
L |
3.6289473539255 |
L(r)(E,1)/r! |
Ω |
1.1908840903289 |
Real period |
R |
0.76181791817459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83824b1 248a1 |
Quadratic twists by: -4 13 |