Atkin-Lehner |
2- 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
16854s |
Isogeny class |
Conductor |
16854 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-19415808 = -1 · 28 · 33 · 532 |
Discriminant |
Eigenvalues |
2- 3- -2 3 -4 -2 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,21,-207] |
[a1,a2,a3,a4,a6] |
Generators |
[6:9:1] |
Generators of the group modulo torsion |
j |
363527/6912 |
j-invariant |
L |
8.3679248899821 |
L(r)(E,1)/r! |
Ω |
1.0553023450671 |
Real period |
R |
0.33039208025301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50562i1 16854a1 |
Quadratic twists by: -3 53 |