Atkin-Lehner |
2- 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24768bo |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
55467638784 = 216 · 39 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -6 6 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1836,-28080] |
[a1,a2,a3,a4,a6] |
j |
530604/43 |
j-invariant |
L |
1.4661912297856 |
L(r)(E,1)/r! |
Ω |
0.73309561489292 |
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 |
24768h1 6192c1 24768bn1 |
Quadratic twists by: -4 8 -3 |