Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5824n |
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 |
[-10:169:1] |
Generators of the group modulo torsion |
j |
530208386048/439239619 |
j-invariant |
L |
2.0857753855237 |
L(r)(E,1)/r! |
Ω |
0.48185115665442 |
Real period |
R |
0.6183816477406 |
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 |
5824v1 728b1 52416dg1 40768v1 |
Quadratic twists by: -4 8 -3 -7 |