Atkin-Lehner |
2+ 3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
58032g |
Isogeny class |
Conductor |
58032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
940032 |
Modular degree for the optimal curve |
Δ |
17952646684752 = 24 · 312 · 133 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 -2 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6333870,-6135526433] |
[a1,a2,a3,a4,a6] |
Generators |
[81512841922663887134763:8825633955886853389631278:6638110779990863341] |
Generators of the group modulo torsion |
j |
2409259817702320384000/1539150093 |
j-invariant |
L |
6.9858458179955 |
L(r)(E,1)/r! |
Ω |
0.095166099228176 |
Real period |
R |
36.703436804992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29016c1 19344f1 |
Quadratic twists by: -4 -3 |