Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5824j |
Isogeny class |
Conductor |
5824 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-5824 = -1 · 26 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 2 3 7- 0 13+ -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29,71] |
[a1,a2,a3,a4,a6] |
j |
-43614208/91 |
j-invariant |
L |
4.2705654203668 |
L(r)(E,1)/r! |
Ω |
4.2705654203668 |
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 |
5824s1 91b1 52416cr1 40768bw1 |
Quadratic twists by: -4 8 -3 -7 |