Atkin-Lehner |
2- 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122176bs |
Isogeny class |
Conductor |
122176 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-206141297096916992 = -1 · 224 · 236 · 83 |
Discriminant |
Eigenvalues |
2- 1 0 1 3 4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120353,27079007] |
[a1,a2,a3,a4,a6] |
j |
-735458479359625/786366642368 |
j-invariant |
L |
3.453692576969 |
L(r)(E,1)/r! |
Ω |
0.28780779099373 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122176b2 30544p2 |
Quadratic twists by: -4 8 |