Atkin-Lehner |
2- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
47974i |
Isogeny class |
Conductor |
47974 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
3267807524751332 = 22 · 179 · 832 |
Discriminant |
Eigenvalues |
2- -2 -4 4 2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-271955,-54540899] |
[a1,a2,a3,a4,a6] |
Generators |
[-6407350950:-2125966577:21484952] |
Generators of the group modulo torsion |
j |
18757487393/27556 |
j-invariant |
L |
4.9504007131648 |
L(r)(E,1)/r! |
Ω |
0.20908053392991 |
Real period |
R |
11.838502179291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47974h1 |
Quadratic twists by: 17 |