Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160bz |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-396044666896665600 = -1 · 210 · 38 · 52 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- 0 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,149395,-20611875] |
[a1,a2,a3,a4,a6] |
Generators |
[132005:4530724:125] |
Generators of the group modulo torsion |
j |
203269830656/218317275 |
j-invariant |
L |
7.1168458422416 |
L(r)(E,1)/r! |
Ω |
0.16228993886177 |
Real period |
R |
5.481582795153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999279356 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160jg1 14520bm1 10560j1 |
Quadratic twists by: -4 8 -11 |