Atkin-Lehner |
2- 3- 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47502bp |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
8414836794 = 2 · 313 · 7 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 1 13- -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-509,-21] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:567:8] |
Generators of the group modulo torsion |
j |
19968681097/11542986 |
j-invariant |
L |
7.9374131776261 |
L(r)(E,1)/r! |
Ω |
1.0994352763173 |
Real period |
R |
3.6097682822267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15834e1 |
Quadratic twists by: -3 |