Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12720z |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
87920640 = 212 · 34 · 5 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-136,-460] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:6:1] |
Generators of the group modulo torsion |
j |
68417929/21465 |
j-invariant |
L |
4.6579524530809 |
L(r)(E,1)/r! |
Ω |
1.4315949991561 |
Real period |
R |
0.81342007617844 |
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 |
795a1 50880dd1 38160ck1 63600cd1 |
Quadratic twists by: -4 8 -3 5 |