Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
28320k |
Isogeny class |
Conductor |
28320 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
205549569000000 = 26 · 310 · 56 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14766,29520] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:756:1] |
Generators of the group modulo torsion |
j |
5563674858425536/3211712015625 |
j-invariant |
L |
5.8519261469934 |
L(r)(E,1)/r! |
Ω |
0.47893733254425 |
Real period |
R |
2.4437126736003 |
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 |
28320a1 56640ca2 84960bi1 |
Quadratic twists by: -4 8 -3 |