Atkin-Lehner |
2- 3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
47808bu |
Isogeny class |
Conductor |
47808 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-1580526825652224 = -1 · 214 · 319 · 83 |
Discriminant |
Eigenvalues |
2- 3- -1 2 3 0 8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5892,-1904816] |
[a1,a2,a3,a4,a6] |
j |
1893932336/132328809 |
j-invariant |
L |
3.6248720832365 |
L(r)(E,1)/r! |
Ω |
0.22655450520102 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47808j1 11952k1 15936t1 |
Quadratic twists by: -4 8 -3 |