Atkin-Lehner |
2- 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
5742q |
Isogeny class |
Conductor |
5742 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
88130317572 = 22 · 39 · 113 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11+ 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-766640,-258174161] |
[a1,a2,a3,a4,a6] |
Generators |
[1570280145:39255854947:1157625] |
Generators of the group modulo torsion |
j |
2531665445447410875/4477484 |
j-invariant |
L |
5.321308691878 |
L(r)(E,1)/r! |
Ω |
0.1613435952556 |
Real period |
R |
16.490610251519 |
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 |
45936bb4 5742c2 63162g4 |
Quadratic twists by: -4 -3 -11 |