Atkin-Lehner |
2- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5824v |
Isogeny class |
Conductor |
5824 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-7196501917696 = -1 · 214 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ 0 13- -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4283,-72291] |
[a1,a2,a3,a4,a6] |
Generators |
[348:6591:1] |
Generators of the group modulo torsion |
j |
530208386048/439239619 |
j-invariant |
L |
4.4616430058126 |
L(r)(E,1)/r! |
Ω |
0.41217547987285 |
Real period |
R |
1.5463743075051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5824n1 1456c1 52416fm1 40768cz1 |
Quadratic twists by: -4 8 -3 -7 |