Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150g |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2788142112792968750 = -1 · 2 · 512 · 7 · 138 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 2 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,172433,-75504909] |
[a1,a2,a3,a4,a6] |
j |
7518017079/36968750 |
j-invariant |
L |
2.0535302604181 |
L(r)(E,1)/r! |
Ω |
0.12834564136434 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11830o2 4550r2 |
Quadratic twists by: 5 13 |