Atkin-Lehner |
2+ 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040v |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
13525200 = 24 · 32 · 52 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-91,-316] |
[a1,a2,a3,a4,a6] |
Generators |
[64:510:1] |
Generators of the group modulo torsion |
j |
5266130944/845325 |
j-invariant |
L |
6.3157280868715 |
L(r)(E,1)/r! |
Ω |
1.5610963405861 |
Real period |
R |
2.0228501991352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26520n1 |
Quadratic twists by: -4 |