Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10710bb |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
117430151086080 = 216 · 311 · 5 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-461633,-120607279] |
[a1,a2,a3,a4,a6] |
j |
14924020698027934921/161083883520 |
j-invariant |
L |
2.9305266849091 |
L(r)(E,1)/r! |
Ω |
0.18315791780682 |
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 |
85680dk1 3570p1 53550bb1 74970ds1 |
Quadratic twists by: -4 -3 5 -7 |