Atkin-Lehner |
5- 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
8165d |
Isogeny class |
Conductor |
8165 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4536 |
Modular degree for the optimal curve |
Δ |
4319285 = 5 · 233 · 71 |
Discriminant |
Eigenvalues |
0 2 5- -2 -5 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4455,-112979] |
[a1,a2,a3,a4,a6] |
j |
9780573437526016/4319285 |
j-invariant |
L |
1.7530761057239 |
L(r)(E,1)/r! |
Ω |
0.58435870190797 |
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 |
73485a1 40825b1 |
Quadratic twists by: -3 5 |