Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
21420r |
Isogeny class |
Conductor |
21420 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
9761322283650000 = 24 · 314 · 55 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147468,-21272267] |
[a1,a2,a3,a4,a6] |
Generators |
[3538:693:8] |
Generators of the group modulo torsion |
j |
30406719792234496/836876053125 |
j-invariant |
L |
5.1976670653007 |
L(r)(E,1)/r! |
Ω |
0.24403668547497 |
Real period |
R |
5.3246779835422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680ea1 7140p1 107100v1 |
Quadratic twists by: -4 -3 5 |