Atkin-Lehner |
2- 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
16854u |
Isogeny class |
Conductor |
16854 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
24336 |
Modular degree for the optimal curve |
Δ |
-5860691982 = -1 · 2 · 39 · 533 |
Discriminant |
Eigenvalues |
2- 3- 4 -1 -5 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2046,-35982] |
[a1,a2,a3,a4,a6] |
j |
-6362477477/39366 |
j-invariant |
L |
6.3863682129417 |
L(r)(E,1)/r! |
Ω |
0.35479823405232 |
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 |
50562t1 16854c1 |
Quadratic twists by: -3 53 |