Atkin-Lehner |
2- 5+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
91630bk |
Isogeny class |
Conductor |
91630 |
Conductor |
∏ cp |
1020 |
Product of Tamagawa factors cp |
deg |
12337920 |
Modular degree for the optimal curve |
Δ |
2.1980397005287E+22 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11- 3 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20476121,-34951047321] |
[a1,a2,a3,a4,a6] |
Generators |
[-2871:14910:1] [-2849:17880:1] |
Generators of the group modulo torsion |
j |
164695773844880654929/3812863098880000 |
j-invariant |
L |
13.472532705136 |
L(r)(E,1)/r! |
Ω |
0.07107222846685 |
Real period |
R |
0.18584425566934 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992495 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91630by1 |
Quadratic twists by: -7 |