Atkin-Lehner |
2- 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408ca |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3278730608874160128 = 216 · 316 · 133 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-99184257,380233156257] |
[a1,a2,a3,a4,a6] |
j |
1646538988508182476100228/50029458753573 |
j-invariant |
L |
3.3189702860355 |
L(r)(E,1)/r! |
Ω |
0.1843872382044 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408bk4 14352n3 |
Quadratic twists by: -4 8 |