Atkin-Lehner |
2+ 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
5742n |
Isogeny class |
Conductor |
5742 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
7.7872563019612E+21 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 11- 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5629635,2900781013] |
[a1,a2,a3,a4,a6] |
j |
27066801716613381357361/10682107410097677312 |
j-invariant |
L |
1.436143984353 |
L(r)(E,1)/r! |
Ω |
0.11967866536275 |
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 |
45936bp1 1914j1 63162cf1 |
Quadratic twists by: -4 -3 -11 |