Atkin-Lehner |
2- 3+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
27768h |
Isogeny class |
Conductor |
27768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-2591087616 = -1 · 210 · 37 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 3 13+ -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-872,-9924] |
[a1,a2,a3,a4,a6] |
j |
-71692076452/2530359 |
j-invariant |
L |
0.87665582088618 |
L(r)(E,1)/r! |
Ω |
0.4383279104434 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55536i1 83304i1 |
Quadratic twists by: -4 -3 |