Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
5568v |
Isogeny class |
Conductor |
5568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-410517504 = -1 · 219 · 33 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 6 4 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-321,2529] |
[a1,a2,a3,a4,a6] |
Generators |
[5:32:1] |
Generators of the group modulo torsion |
j |
-13997521/1566 |
j-invariant |
L |
3.201037035486 |
L(r)(E,1)/r! |
Ω |
1.6364582076173 |
Real period |
R |
0.48901906272126 |
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 |
5568m1 1392m1 16704ce1 |
Quadratic twists by: -4 8 -3 |