Atkin-Lehner |
2+ 3- 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
114576q |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
266240 |
Modular degree for the optimal curve |
Δ |
-23979535305264 = -1 · 24 · 310 · 74 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6293,-134260] |
[a1,a2,a3,a4,a6] |
Generators |
[56:630:1] |
Generators of the group modulo torsion |
j |
1722296466470912/1498720956579 |
j-invariant |
L |
11.237077599728 |
L(r)(E,1)/r! |
Ω |
0.37104518223793 |
Real period |
R |
1.5142465337623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999806603 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57288n1 |
Quadratic twists by: -4 |