Atkin-Lehner |
2- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
46784u |
Isogeny class |
Conductor |
46784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-3066036224 = -1 · 222 · 17 · 43 |
Discriminant |
Eigenvalues |
2- -1 3 0 2 -5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,351,-959] |
[a1,a2,a3,a4,a6] |
j |
18191447/11696 |
j-invariant |
L |
1.6287777988651 |
L(r)(E,1)/r! |
Ω |
0.81438889948557 |
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 |
46784g1 11696k1 |
Quadratic twists by: -4 8 |