Atkin-Lehner |
2+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
4544i |
Isogeny class |
Conductor |
4544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
9529458688 = 227 · 71 |
Discriminant |
Eigenvalues |
2+ 3 4 -3 0 -1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-748,6320] |
[a1,a2,a3,a4,a6] |
j |
176558481/36352 |
j-invariant |
L |
4.8993061401171 |
L(r)(E,1)/r! |
Ω |
1.2248265350293 |
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 |
4544n1 142a1 40896t1 113600bn1 |
Quadratic twists by: -4 8 -3 5 |