Atkin-Lehner |
2+ 3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9282k |
Isogeny class |
Conductor |
9282 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1872 |
Modular degree for the optimal curve |
Δ |
-4093362 = -1 · 2 · 33 · 73 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -6 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,39,22] |
[a1,a2,a3,a4,a6] |
j |
6804992375/4093362 |
j-invariant |
L |
1.5135767441778 |
L(r)(E,1)/r! |
Ω |
1.5135767441778 |
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 |
74256bo1 27846bo1 64974e1 120666bw1 |
Quadratic twists by: -4 -3 -7 13 |