Atkin-Lehner |
2+ 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16704p |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-299267260416 = -1 · 219 · 39 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 6 4 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2892,65392] |
[a1,a2,a3,a4,a6] |
j |
-13997521/1566 |
j-invariant |
L |
3.7792383467416 |
L(r)(E,1)/r! |
Ω |
0.94480958668539 |
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 |
16704ce1 522e1 5568m1 |
Quadratic twists by: -4 8 -3 |