Atkin-Lehner |
2+ 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
5742d |
Isogeny class |
Conductor |
5742 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
120892068 = 22 · 33 · 113 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11- -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-141,-335] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:20:1] |
Generators of the group modulo torsion |
j |
11527859979/4477484 |
j-invariant |
L |
3.0961829668157 |
L(r)(E,1)/r! |
Ω |
1.4315217521191 |
Real period |
R |
0.36047687972985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45936z1 5742p1 63162bm1 |
Quadratic twists by: -4 -3 -11 |