Atkin-Lehner |
2- 3- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
21726bd |
Isogeny class |
Conductor |
21726 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
5591040 |
Modular degree for the optimal curve |
Δ |
103429294620844032 = 213 · 321 · 17 · 71 |
Discriminant |
Eigenvalues |
2- 3- -4 -3 -5 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-299678297,1996858748985] |
[a1,a2,a3,a4,a6] |
Generators |
[9881:14742:1] |
Generators of the group modulo torsion |
j |
4082837157516340847666290249/141878319095808 |
j-invariant |
L |
4.0855682821268 |
L(r)(E,1)/r! |
Ω |
0.17897230454673 |
Real period |
R |
0.43899876580968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7242d1 |
Quadratic twists by: -3 |