Atkin-Lehner |
2+ 3+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
64032c |
Isogeny class |
Conductor |
64032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
12465237504 = 29 · 3 · 234 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1104,-12696] |
[a1,a2,a3,a4,a6] |
j |
290907082376/24346167 |
j-invariant |
L |
1.6651792266704 |
L(r)(E,1)/r! |
Ω |
0.83258961453077 |
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 |
64032bh3 128064y4 |
Quadratic twists by: -4 8 |