Atkin-Lehner |
3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
91575t |
Isogeny class |
Conductor |
91575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
514594265625 = 37 · 56 · 11 · 372 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2930,51072] |
[a1,a2,a3,a4,a6] |
Generators |
[-266:2793:8] [-12:296:1] |
Generators of the group modulo torsion |
j |
244140625/45177 |
j-invariant |
L |
7.1576701344063 |
L(r)(E,1)/r! |
Ω |
0.88254112672068 |
Real period |
R |
2.0275741032379 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000114 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30525h1 3663c1 |
Quadratic twists by: -3 5 |