Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
32760bi |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
15921360 = 24 · 37 · 5 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4098,100973] |
[a1,a2,a3,a4,a6] |
Generators |
[38:11:1] |
Generators of the group modulo torsion |
j |
652517349376/1365 |
j-invariant |
L |
5.809120071889 |
L(r)(E,1)/r! |
Ω |
1.8979513839926 |
Real period |
R |
1.5303658778836 |
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 |
65520t1 10920g1 |
Quadratic twists by: -4 -3 |