Atkin-Lehner |
2+ 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
5568n |
Isogeny class |
Conductor |
5568 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-776801746944 = -1 · 217 · 35 · 293 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 2 -4 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23681,1395423] |
[a1,a2,a3,a4,a6] |
Generators |
[283:4176:1] |
Generators of the group modulo torsion |
j |
-11205525764162/5926527 |
j-invariant |
L |
4.044396073132 |
L(r)(E,1)/r! |
Ω |
0.88523493613955 |
Real period |
R |
0.076145437179449 |
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 |
5568w1 696d1 16704s1 |
Quadratic twists by: -4 8 -3 |