Atkin-Lehner |
2- 3+ 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
59160k |
Isogeny class |
Conductor |
59160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-2806229909928960 = -1 · 210 · 33 · 5 · 176 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24744,-2070180] |
[a1,a2,a3,a4,a6] |
j |
1636122905873564/2740458896415 |
j-invariant |
L |
0.476834054686 |
L(r)(E,1)/r! |
Ω |
0.23841702764424 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118320l1 |
Quadratic twists by: -4 |