Atkin-Lehner |
3- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
96921q |
Isogeny class |
Conductor |
96921 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3179520 |
Modular degree for the optimal curve |
Δ |
1.3329823526702E+19 |
Discriminant |
Eigenvalues |
1 3- 2 2 11- 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15950061,-24513756008] |
[a1,a2,a3,a4,a6] |
Generators |
[-67666203061004512401970325992615028650204560252:41386253278714565776199420910569114741916993931:29235068744181158769824394333770214665518912] |
Generators of the group modulo torsion |
j |
347477855987736937/10321451129 |
j-invariant |
L |
10.609710028885 |
L(r)(E,1)/r! |
Ω |
0.075545698375364 |
Real period |
R |
70.220477519241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10769c1 8811c1 |
Quadratic twists by: -3 -11 |