Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
102312bq |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
5059584 |
Modular degree for the optimal curve |
Δ |
1.1939552902749E+21 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 6 5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3248868,1522021844] |
[a1,a2,a3,a4,a6] |
Generators |
[380:18502:1] |
Generators of the group modulo torsion |
j |
414721296960646144/130564313782821 |
j-invariant |
L |
7.592683996512 |
L(r)(E,1)/r! |
Ω |
0.14231721625941 |
Real period |
R |
1.4819562530403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011431 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34104b1 102312bb1 |
Quadratic twists by: -3 -7 |