Atkin-Lehner |
2+ 11- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97526j |
Isogeny class |
Conductor |
97526 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1456000 |
Modular degree for the optimal curve |
Δ |
-20227687636366496 = -1 · 25 · 116 · 135 · 312 |
Discriminant |
Eigenvalues |
2+ -1 1 -3 11- 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1706707,-858934963] |
[a1,a2,a3,a4,a6] |
Generators |
[31838:1867083:8] |
Generators of the group modulo torsion |
j |
-310345110881179921/11418002336 |
j-invariant |
L |
1.9683588122742 |
L(r)(E,1)/r! |
Ω |
0.066043308995517 |
Real period |
R |
7.4510151911716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000090791 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
806f1 |
Quadratic twists by: -11 |