Atkin-Lehner |
2+ 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
5742m |
Isogeny class |
Conductor |
5742 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-144845354041344 = -1 · 221 · 39 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 11- -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8397,495477] |
[a1,a2,a3,a4,a6] |
j |
89813071796687/198690471936 |
j-invariant |
L |
1.6114465674942 |
L(r)(E,1)/r! |
Ω |
0.40286164187354 |
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 |
45936bo1 1914n1 63162ce1 |
Quadratic twists by: -4 -3 -11 |