Atkin-Lehner |
2- 3+ 19- 101- |
Signs for the Atkin-Lehner involutions |
Class |
92112j |
Isogeny class |
Conductor |
92112 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1370758868863266816 = 212 · 314 · 193 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-511672,-128953040] |
[a1,a2,a3,a4,a6] |
j |
3616925543805849913/334657926968571 |
j-invariant |
L |
1.0773799508514 |
L(r)(E,1)/r! |
Ω |
0.17956334202275 |
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 |
5757e2 |
Quadratic twists by: -4 |