Atkin-Lehner |
2+ 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
7176i |
Isogeny class |
Conductor |
7176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
990288 = 24 · 32 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 6 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31,-58] |
[a1,a2,a3,a4,a6] |
j |
212629504/61893 |
j-invariant |
L |
4.1257259215064 |
L(r)(E,1)/r! |
Ω |
2.0628629607532 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14352g1 57408r1 21528o1 93288br1 |
Quadratic twists by: -4 8 -3 13 |