Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15840j |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
102886977600 = 26 · 312 · 52 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8913,323512] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:792:1] |
Generators of the group modulo torsion |
j |
1678370855104/2205225 |
j-invariant |
L |
4.4521211674177 |
L(r)(E,1)/r! |
Ω |
1.0590478703635 |
Real period |
R |
2.1019451962495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15840a1 31680de2 5280p1 79200dt1 |
Quadratic twists by: -4 8 -3 5 |