Atkin-Lehner |
2- 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5568q |
Isogeny class |
Conductor |
5568 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-89088 = -1 · 210 · 3 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 3 -3 3 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7,-15] |
[a1,a2,a3,a4,a6] |
j |
32000/87 |
j-invariant |
L |
1.7472159896697 |
L(r)(E,1)/r! |
Ω |
1.7472159896697 |
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 |
5568i1 1392o1 16704cy1 |
Quadratic twists by: -4 8 -3 |