Atkin-Lehner |
2- 3- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
47808bm |
Isogeny class |
Conductor |
47808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-61669694767104 = -1 · 222 · 311 · 83 |
Discriminant |
Eigenvalues |
2- 3- -1 4 -3 6 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4908,400336] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:648:1] |
Generators of the group modulo torsion |
j |
-68417929/322704 |
j-invariant |
L |
6.9108120889355 |
L(r)(E,1)/r! |
Ω |
0.54103328035317 |
Real period |
R |
1.5966698214091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47808w1 11952s1 15936w1 |
Quadratic twists by: -4 8 -3 |