Atkin-Lehner |
3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725b |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10063872 |
Modular degree for the optimal curve |
Δ |
-7.9827465904313E+22 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 1 13+ -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-75210633,251446726793] |
[a1,a2,a3,a4,a6] |
Generators |
[3861:136384:1] |
Generators of the group modulo torsion |
j |
-21842779439104/37059435 |
j-invariant |
L |
3.3189854983101 |
L(r)(E,1)/r! |
Ω |
0.10840996848311 |
Real period |
R |
7.653782998593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17745v1 88725p1 |
Quadratic twists by: 5 13 |