Atkin-Lehner |
2+ 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5742c |
Isogeny class |
Conductor |
5742 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
120892068 = 22 · 33 · 113 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11- 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-85182,9590400] |
[a1,a2,a3,a4,a6] |
j |
2531665445447410875/4477484 |
j-invariant |
L |
0.80238436699234 |
L(r)(E,1)/r! |
Ω |
1.2035765504885 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
45936v2 5742q4 63162bp2 |
Quadratic twists by: -4 -3 -11 |