Atkin-Lehner |
2- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440dj |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
2956800 |
Modular degree for the optimal curve |
Δ |
1.9721041794765E+19 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 1 1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16244065,-25193079775] |
[a1,a2,a3,a4,a6] |
Generators |
[11785:1191640:1] [-2320:775:1] |
Generators of the group modulo torsion |
j |
14466316408973098133192/601838433678125 |
j-invariant |
L |
9.0876298324165 |
L(r)(E,1)/r! |
Ω |
0.075201578543859 |
Real period |
R |
0.86316860519671 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999729 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69440do1 34720e1 |
Quadratic twists by: -4 8 |