Atkin-Lehner |
2- 3- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
96624br |
Isogeny class |
Conductor |
96624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
4007190528 = 213 · 36 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- -1 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2115,37314] |
[a1,a2,a3,a4,a6] |
Generators |
[25:8:1] |
Generators of the group modulo torsion |
j |
350402625/1342 |
j-invariant |
L |
6.2259238534513 |
L(r)(E,1)/r! |
Ω |
1.3975016922292 |
Real period |
R |
1.1137596259627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008631 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12078h1 10736g1 |
Quadratic twists by: -4 -3 |