Atkin-Lehner |
2+ 3- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
55224d |
Isogeny class |
Conductor |
55224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-1860827904 = -1 · 28 · 36 · 132 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 -2 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-543,-5294] |
[a1,a2,a3,a4,a6] |
j |
-94875856/9971 |
j-invariant |
L |
1.9663323904852 |
L(r)(E,1)/r! |
Ω |
0.49158309761785 |
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 |
110448k1 6136e1 |
Quadratic twists by: -4 -3 |