Atkin-Lehner |
2- 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56870m |
Isogeny class |
Conductor |
56870 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
2001824000 = 28 · 53 · 113 · 47 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1288,-17333] |
[a1,a2,a3,a4,a6] |
j |
177409591659/1504000 |
j-invariant |
L |
3.1895471524564 |
L(r)(E,1)/r! |
Ω |
0.79738678742042 |
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 |
56870a1 |
Quadratic twists by: -11 |