Atkin-Lehner |
2- 3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
114192bp |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
31650452681342976 = 214 · 38 · 136 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -4 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-167619,24988610] |
[a1,a2,a3,a4,a6] |
j |
174423891623617/10599672564 |
j-invariant |
L |
2.9134991874395 |
L(r)(E,1)/r! |
Ω |
0.36418738763227 |
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 |
14274h2 38064s2 |
Quadratic twists by: -4 -3 |