Atkin-Lehner |
2- 5+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
43160g |
Isogeny class |
Conductor |
43160 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-23340928000 = -1 · 210 · 53 · 133 · 83 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 2 13- 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,344,-7044] |
[a1,a2,a3,a4,a6] |
j |
4383651164/22793875 |
j-invariant |
L |
3.6213034838458 |
L(r)(E,1)/r! |
Ω |
0.60355058064959 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86320e1 |
Quadratic twists by: -4 |