Atkin-Lehner |
2+ 3- 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
67344d |
Isogeny class |
Conductor |
67344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
18140857344 = 210 · 32 · 232 · 612 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1424,-20124] |
[a1,a2,a3,a4,a6] |
j |
312074777668/17715681 |
j-invariant |
L |
1.5597754808991 |
L(r)(E,1)/r! |
Ω |
0.77988774368335 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33672a2 |
Quadratic twists by: -4 |