Atkin-Lehner |
3+ 7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
25641a |
Isogeny class |
Conductor |
25641 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-507998824077591 = -1 · 39 · 78 · 112 · 37 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 11+ -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19091,1490266] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:1504:1] [-55:1567:1] |
Generators of the group modulo torsion |
j |
-39092831315019/25809014077 |
j-invariant |
L |
4.8051022019686 |
L(r)(E,1)/r! |
Ω |
0.48242305020463 |
Real period |
R |
1.2450436914061 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25641c1 |
Quadratic twists by: -3 |