Atkin-Lehner |
2+ 3- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
55536g |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7936 |
Modular degree for the optimal curve |
Δ |
2665728 = 28 · 32 · 13 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 0 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73,-253] |
[a1,a2,a3,a4,a6] |
j |
170368000/10413 |
j-invariant |
L |
3.2753847685313 |
L(r)(E,1)/r! |
Ω |
1.6376923852781 |
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 |
27768f1 |
Quadratic twists by: -4 |