Atkin-Lehner |
2- 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56870m |
Isogeny class |
Conductor |
56870 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-735044750000 = -1 · 24 · 56 · 113 · 472 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-408,-41269] |
[a1,a2,a3,a4,a6] |
j |
-5630252139/552250000 |
j-invariant |
L |
3.1895471524564 |
L(r)(E,1)/r! |
Ω |
0.39869339371021 |
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 |
56870a2 |
Quadratic twists by: -11 |