Atkin-Lehner |
2+ 3+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
16854c |
Isogeny class |
Conductor |
16854 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1289808 |
Modular degree for the optimal curve |
Δ |
-1.2989849355488E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -1 -5 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5747272,-5333903210] |
[a1,a2,a3,a4,a6] |
j |
-6362477477/39366 |
j-invariant |
L |
0.09747057103485 |
L(r)(E,1)/r! |
Ω |
0.048735285517425 |
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 |
50562bm1 16854u1 |
Quadratic twists by: -3 53 |