Atkin-Lehner |
2+ 3+ 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
31992c |
Isogeny class |
Conductor |
31992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
121993430016 = 210 · 3 · 314 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3072,64380] |
[a1,a2,a3,a4,a6] |
j |
3132050485252/119134209 |
j-invariant |
L |
1.0381169621757 |
L(r)(E,1)/r! |
Ω |
1.0381169621756 |
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 |
63984l4 95976r4 |
Quadratic twists by: -4 -3 |