Atkin-Lehner |
2+ 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16698d |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
255902441556934656 = 219 · 32 · 119 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -1 3 11- -1 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-306253,-60650531] |
[a1,a2,a3,a4,a6] |
j |
1793126264853169/144450256896 |
j-invariant |
L |
0.81593299918587 |
L(r)(E,1)/r! |
Ω |
0.20398324979647 |
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 |
50094cf1 1518o1 |
Quadratic twists by: -3 -11 |