Atkin-Lehner |
2- 7- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
69454z |
Isogeny class |
Conductor |
69454 |
Conductor |
∏ cp |
714 |
Product of Tamagawa factors cp |
deg |
5780544 |
Modular degree for the optimal curve |
Δ |
-3.8896041161835E+22 |
Discriminant |
Eigenvalues |
2- -1 -2 7- 11- 1 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6582821,6914823081] |
[a1,a2,a3,a4,a6] |
Generators |
[-313:69610:1] |
Generators of the group modulo torsion |
j |
147169686417267503/181452902629376 |
j-invariant |
L |
6.1176656376787 |
L(r)(E,1)/r! |
Ω |
0.077127901863065 |
Real period |
R |
0.11109026630391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69454b1 |
Quadratic twists by: -11 |