Atkin-Lehner |
2+ 3- 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118320l |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
479232 |
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 |
3.7184610524658 |
L(r)(E,1)/r! |
Ω |
0.30987173283722 |
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 |
59160k1 |
Quadratic twists by: -4 |