Atkin-Lehner |
2+ 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6336d |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
4866048 = 214 · 33 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11+ 6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60,144] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:16:1] |
Generators of the group modulo torsion |
j |
54000/11 |
j-invariant |
L |
3.8744332436178 |
L(r)(E,1)/r! |
Ω |
2.3046701329833 |
Real period |
R |
0.84056134285096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6336bo1 792c1 6336i1 69696i1 |
Quadratic twists by: -4 8 -3 -11 |