Atkin-Lehner |
2- 3- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128832bj |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
5225472 |
Modular degree for the optimal curve |
Δ |
-1.6191663267663E+20 |
Discriminant |
Eigenvalues |
2- 3- -3 4 11+ -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,69983,-612150049] |
[a1,a2,a3,a4,a6] |
Generators |
[4373:288684:1] |
Generators of the group modulo torsion |
j |
144595657865303/617662935930744 |
j-invariant |
L |
8.2613376735841 |
L(r)(E,1)/r! |
Ω |
0.084174651245272 |
Real period |
R |
1.168395186753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006683 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128832g1 32208m1 |
Quadratic twists by: -4 8 |