Atkin-Lehner |
2- 3+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
59568v |
Isogeny class |
Conductor |
59568 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-59568 = -1 · 24 · 3 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 0 -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-293,-1836] |
[a1,a2,a3,a4,a6] |
j |
-174456832000/3723 |
j-invariant |
L |
2.307218048062 |
L(r)(E,1)/r! |
Ω |
0.57680451150422 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14892h1 |
Quadratic twists by: -4 |