Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
62622cm |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-3891854674800006012 = -1 · 22 · 314 · 79 · 712 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,275836,-76878525] |
[a1,a2,a3,a4,a6] |
Generators |
[757335421309850:41091019443515907:259938374968] |
Generators of the group modulo torsion |
j |
78898389569/132296004 |
j-invariant |
L |
11.260373633616 |
L(r)(E,1)/r! |
Ω |
0.13045958440779 |
Real period |
R |
21.578279749908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999855 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20874f1 62622cq1 |
Quadratic twists by: -3 -7 |