Atkin-Lehner |
3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
68355bc |
Isogeny class |
Conductor |
68355 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-2884743479835 = -1 · 36 · 5 · 77 · 312 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- 5 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-147,-81720] |
[a1,a2,a3,a4,a6] |
j |
-4096/33635 |
j-invariant |
L |
1.462908184949 |
L(r)(E,1)/r! |
Ω |
0.36572704541447 |
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 |
7595a1 9765h1 |
Quadratic twists by: -3 -7 |