Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16560r |
Isogeny class |
Conductor |
16560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
64385280 = 28 · 37 · 5 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1047,-13034] |
[a1,a2,a3,a4,a6] |
Generators |
[45:176:1] |
Generators of the group modulo torsion |
j |
680136784/345 |
j-invariant |
L |
5.8092831600504 |
L(r)(E,1)/r! |
Ω |
0.83931716742719 |
Real period |
R |
3.4607198479318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8280l1 66240ej1 5520g1 82800bg1 |
Quadratic twists by: -4 8 -3 5 |