Atkin-Lehner |
2+ 3- 11+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
32538h |
Isogeny class |
Conductor |
32538 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
6.946040343416E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11+ 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5499561,2925877804] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:56403:1] |
Generators of the group modulo torsion |
j |
18395333641069840545567625/6946040343416014672128 |
j-invariant |
L |
5.4602635681702 |
L(r)(E,1)/r! |
Ω |
0.12127595704351 |
Real period |
R |
4.5023463028297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
97614bl1 |
Quadratic twists by: -3 |