Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6336bv |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-104055570432 = -1 · 217 · 38 · 112 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11+ 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1140,4624] |
[a1,a2,a3,a4,a6] |
Generators |
[18:176:1] |
Generators of the group modulo torsion |
j |
1714750/1089 |
j-invariant |
L |
3.8117511581701 |
L(r)(E,1)/r! |
Ω |
0.65945858332416 |
Real period |
R |
0.72251526755404 |
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 |
6336w2 1584f2 2112ba2 69696fm2 |
Quadratic twists by: -4 8 -3 -11 |