Atkin-Lehner |
2- 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
16884n |
Isogeny class |
Conductor |
16884 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-21885777752832 = -1 · 28 · 312 · 74 · 67 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -2 -4 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6792,65140] |
[a1,a2,a3,a4,a6] |
Generators |
[5:315:1] |
Generators of the group modulo torsion |
j |
185673211904/117272043 |
j-invariant |
L |
6.5445588173356 |
L(r)(E,1)/r! |
Ω |
0.42177641555529 |
Real period |
R |
1.9395817831348 |
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 |
67536bo1 5628f1 118188bm1 |
Quadratic twists by: -4 -3 -7 |