Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
116160ge |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
234693135938764800 = 214 · 35 · 52 · 119 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-172495825,872056518577] |
[a1,a2,a3,a4,a6] |
Generators |
[7608:3755:1] |
Generators of the group modulo torsion |
j |
14692827276345584/6075 |
j-invariant |
L |
4.2160036254628 |
L(r)(E,1)/r! |
Ω |
0.18905414714803 |
Real period |
R |
5.5751270717048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000011938 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160dv2 29040v2 116160gd2 |
Quadratic twists by: -4 8 -11 |