Atkin-Lehner |
2+ 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
5742g |
Isogeny class |
Conductor |
5742 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
5640340324608 = 28 · 39 · 113 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5346,99220] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:425:1] |
Generators of the group modulo torsion |
j |
23180817201697/7737092352 |
j-invariant |
L |
3.1398011411807 |
L(r)(E,1)/r! |
Ω |
0.70040601395791 |
Real period |
R |
1.1207075177146 |
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 |
45936bw1 1914l1 63162cd1 |
Quadratic twists by: -4 -3 -11 |