Atkin-Lehner |
2- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
44608bn |
Isogeny class |
Conductor |
44608 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
59611276288 = 210 · 175 · 41 |
Discriminant |
Eigenvalues |
2- 1 2 5 -4 6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1857,27863] |
[a1,a2,a3,a4,a6] |
j |
691979636992/58214137 |
j-invariant |
L |
5.4207566343664 |
L(r)(E,1)/r! |
Ω |
1.0841513269287 |
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 |
44608u1 11152i1 |
Quadratic twists by: -4 8 |