Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
16800bj |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
27348890625000000 = 26 · 36 · 512 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-108158,-11105688] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:924:1] |
Generators of the group modulo torsion |
j |
139927692143296/27348890625 |
j-invariant |
L |
4.010724647844 |
L(r)(E,1)/r! |
Ω |
0.2668450544941 |
Real period |
R |
3.7575407341236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16800bt1 33600gs2 50400bn1 3360i1 |
Quadratic twists by: -4 8 -3 5 |