Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160fr |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4257792 |
Modular degree for the optimal curve |
Δ |
2.3706377367552E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 11- -3 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3000961,-1857786335] |
[a1,a2,a3,a4,a6] |
Generators |
[-1219944:14698337:1331] |
Generators of the group modulo torsion |
j |
53189206081/4218750 |
j-invariant |
L |
2.7256685051725 |
L(r)(E,1)/r! |
Ω |
0.11528256191055 |
Real period |
R |
11.821685966073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160di1 29040do1 116160fo1 |
Quadratic twists by: -4 8 -11 |