Atkin-Lehner |
2+ 11+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
128656b |
Isogeny class |
Conductor |
128656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
973668608 = 28 · 112 · 17 · 432 |
Discriminant |
Eigenvalues |
2+ 2 0 -2 11+ -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-628,-5664] |
[a1,a2,a3,a4,a6] |
j |
107165266000/3803393 |
j-invariant |
L |
1.911297522458 |
L(r)(E,1)/r! |
Ω |
0.95564886371801 |
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 |
64328j1 |
Quadratic twists by: -4 |