Atkin-Lehner |
2- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55660l |
Isogeny class |
Conductor |
55660 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-1972101705200 = -1 · 24 · 52 · 118 · 23 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 11- 1 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34646,-2471555] |
[a1,a2,a3,a4,a6] |
j |
-162262983424/69575 |
j-invariant |
L |
2.7993941596793 |
L(r)(E,1)/r! |
Ω |
0.17496213483868 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5060d1 |
Quadratic twists by: -11 |