Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
5568bi |
Isogeny class |
Conductor |
5568 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-1.6285992155417E+20 |
Discriminant |
Eigenvalues |
2- 3- 3 -5 6 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-493089,-628457121] |
[a1,a2,a3,a4,a6] |
j |
-50577879066661513/621261297432576 |
j-invariant |
L |
3.2537935582381 |
L(r)(E,1)/r! |
Ω |
0.077471275196145 |
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 |
5568g1 1392i1 16704cv1 |
Quadratic twists by: -4 8 -3 |