Atkin-Lehner |
2+ 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4042a |
Isogeny class |
Conductor |
4042 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1020 |
Modular degree for the optimal curve |
Δ |
-119578528 = -1 · 25 · 433 · 47 |
Discriminant |
Eigenvalues |
2+ -2 0 -1 0 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-201,1196] |
[a1,a2,a3,a4,a6] |
j |
-891666015625/119578528 |
j-invariant |
L |
0.60187752349779 |
L(r)(E,1)/r! |
Ω |
1.8056325704934 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
32336i1 129344e1 36378j1 101050n1 |
Quadratic twists by: -4 8 -3 5 |