Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416fr |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
4279661568 = 210 · 38 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ -6 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7608,-255400] |
[a1,a2,a3,a4,a6] |
j |
65239066624/5733 |
j-invariant |
L |
2.044768799061 |
L(r)(E,1)/r! |
Ω |
0.51119220017285 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416dn1 13104t1 17472ca1 |
Quadratic twists by: -4 8 -3 |