Atkin-Lehner |
2- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
69056k |
Isogeny class |
Conductor |
69056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-12020137066496 = -1 · 227 · 13 · 832 |
Discriminant |
Eigenvalues |
2- 1 1 -3 2 13+ 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2465,172511] |
[a1,a2,a3,a4,a6] |
j |
-6321363049/45853184 |
j-invariant |
L |
2.4532567455975 |
L(r)(E,1)/r! |
Ω |
0.61331418903675 |
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 |
69056f1 17264e1 |
Quadratic twists by: -4 8 |