Atkin-Lehner |
2- 3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
18744k |
Isogeny class |
Conductor |
18744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-7984944 = -1 · 24 · 32 · 11 · 712 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-67,230] |
[a1,a2,a3,a4,a6] |
j |
-2110056448/499059 |
j-invariant |
L |
4.455491297413 |
L(r)(E,1)/r! |
Ω |
2.2277456487065 |
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 |
37488e1 56232d1 |
Quadratic twists by: -4 -3 |