Atkin-Lehner |
2+ 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
5742o |
Isogeny class |
Conductor |
5742 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-1466559209668608 = -1 · 218 · 313 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 11- 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5004,1848784] |
[a1,a2,a3,a4,a6] |
j |
-19010647320769/2011741028352 |
j-invariant |
L |
0.78570945441977 |
L(r)(E,1)/r! |
Ω |
0.39285472720988 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45936bq1 1914i1 63162ch1 |
Quadratic twists by: -4 -3 -11 |