Atkin-Lehner |
2+ 3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
34224n |
Isogeny class |
Conductor |
34224 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
874060734437376 = 211 · 3 · 236 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 6 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-118952,-15766380] |
[a1,a2,a3,a4,a6] |
j |
90889278553909586/426787467987 |
j-invariant |
L |
6.1714935434622 |
L(r)(E,1)/r! |
Ω |
0.25714556431087 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17112a2 102672h2 |
Quadratic twists by: -4 -3 |