Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
5568w |
Isogeny class |
Conductor |
5568 |
Conductor |
∏ cp |
12 |
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 |
[181:464:1] |
Generators of the group modulo torsion |
j |
-11205525764162/5926527 |
j-invariant |
L |
3.3380568055448 |
L(r)(E,1)/r! |
Ω |
0.1924217872678 |
Real period |
R |
1.4456335969633 |
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 |
5568n1 1392e1 16704ch1 |
Quadratic twists by: -4 8 -3 |