Atkin-Lehner |
2- 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
38976br |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
17521194958848 = 217 · 33 · 7 · 294 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33377,-2349537] |
[a1,a2,a3,a4,a6] |
j |
31373913421874/133676109 |
j-invariant |
L |
4.2396423077097 |
L(r)(E,1)/r! |
Ω |
0.35330352564321 |
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 |
38976k3 9744a3 116928dn3 |
Quadratic twists by: -4 8 -3 |