Atkin-Lehner |
2- 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
69454t |
Isogeny class |
Conductor |
69454 |
Conductor |
∏ cp |
272 |
Product of Tamagawa factors cp |
Δ |
7.7195094678919E+22 |
Discriminant |
Eigenvalues |
2- -2 4 7+ 11- -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-83131661,-291441739247] |
[a1,a2,a3,a4,a6] |
j |
35864681248144538691049/43574618474283008 |
j-invariant |
L |
3.4001536083211 |
L(r)(E,1)/r! |
Ω |
0.050002258837343 |
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 |
574d2 |
Quadratic twists by: -11 |