Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5824j |
Isogeny class |
Conductor |
5824 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-33574201024 = -1 · 26 · 79 · 13 |
Discriminant |
Eigenvalues |
2+ 2 3 7- 0 13+ -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-469,-9489] |
[a1,a2,a3,a4,a6] |
j |
-178643795968/524596891 |
j-invariant |
L |
4.2705654203668 |
L(r)(E,1)/r! |
Ω |
0.47450726892965 |
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 |
5824s3 91b3 52416cr3 40768bw3 |
Quadratic twists by: -4 8 -3 -7 |