Atkin-Lehner |
2- 5+ 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
115900a |
Isogeny class |
Conductor |
115900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
72437500000000 = 28 · 512 · 19 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 4 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-155575,-23615250] |
[a1,a2,a3,a4,a6] |
j |
104107771396944/18109375 |
j-invariant |
L |
2.8846974242087 |
L(r)(E,1)/r! |
Ω |
0.24039151553328 |
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 |
23180a2 |
Quadratic twists by: 5 |