Atkin-Lehner |
2- 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
105400t |
Isogeny class |
Conductor |
105400 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
9934848 |
Modular degree for the optimal curve |
Δ |
9.35428879774E+20 |
Discriminant |
Eigenvalues |
2- -3 5+ -4 -4 3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10522075,13054447750] |
[a1,a2,a3,a4,a6] |
Generators |
[43185:-480500:27] [-109:119164:1] |
Generators of the group modulo torsion |
j |
8052076803233381796/58464304985875 |
j-invariant |
L |
5.9590949624092 |
L(r)(E,1)/r! |
Ω |
0.15786321115075 |
Real period |
R |
0.67407985187359 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005097 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21080c1 |
Quadratic twists by: 5 |