Atkin-Lehner |
3+ 7+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
16863a |
Isogeny class |
Conductor |
16863 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
184032 |
Modular degree for the optimal curve |
Δ |
-317789367921333 = -1 · 39 · 73 · 112 · 733 |
Discriminant |
Eigenvalues |
1 3+ -2 7+ 11- 1 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1644561,811067094] |
[a1,a2,a3,a4,a6] |
j |
-491896900027975467649177/317789367921333 |
j-invariant |
L |
0.89795755239656 |
L(r)(E,1)/r! |
Ω |
0.44897877619828 |
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 |
50589i1 118041l1 |
Quadratic twists by: -3 -7 |