Atkin-Lehner |
2- 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770cs |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
-3.4149220001291E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23993356,-45238916464] |
[a1,a2,a3,a4,a6] |
j |
-316472948332146183241/7074906009600 |
j-invariant |
L |
4.9114385973745 |
L(r)(E,1)/r! |
Ω |
0.034107212492692 |
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 |
4290o3 |
Quadratic twists by: 13 |