Atkin-Lehner |
2+ 3- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
127794t |
Isogeny class |
Conductor |
127794 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
-295510736069296128 = -1 · 215 · 32 · 198 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 -5 -3 7 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-932832,-347841746] |
[a1,a2,a3,a4,a6] |
Generators |
[8015196:528950639:1728] |
Generators of the group modulo torsion |
j |
-1908146629143937/6281330688 |
j-invariant |
L |
3.2503039308439 |
L(r)(E,1)/r! |
Ω |
0.07679503737774 |
Real period |
R |
10.581100001902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000015466 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6726g1 |
Quadratic twists by: -19 |