Atkin-Lehner |
2- 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
128700v |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
8957952 |
Modular degree for the optimal curve |
Δ |
1.8770055172375E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21414000,37567339625] |
[a1,a2,a3,a4,a6] |
j |
5958673237147648000/102990700534293 |
j-invariant |
L |
1.4696149716641 |
L(r)(E,1)/r! |
Ω |
0.12246795752584 |
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 |
42900b1 5148e1 |
Quadratic twists by: -3 5 |