Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222bs |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
4254913476 = 22 · 39 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1049,-12427] |
[a1,a2,a3,a4,a6] |
j |
35611289/1188 |
j-invariant |
L |
3.3626856801168 |
L(r)(E,1)/r! |
Ω |
0.84067142067952 |
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 |
19074i1 57222bj1 |
Quadratic twists by: -3 17 |