Atkin-Lehner |
2- 3- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
16218o |
Isogeny class |
Conductor |
16218 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
20500946748 = 22 · 39 · 173 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 1 -2 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-689,-795] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:30:1] |
Generators of the group modulo torsion |
j |
49552182217/28122012 |
j-invariant |
L |
8.544507775156 |
L(r)(E,1)/r! |
Ω |
1.0061730168289 |
Real period |
R |
2.1230214963638 |
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 |
129744bb1 5406c1 |
Quadratic twists by: -4 -3 |