Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3168l |
Isogeny class |
Conductor |
3168 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-3974344704 = -1 · 212 · 36 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 11- -6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,72,3024] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:44:1] |
Generators of the group modulo torsion |
j |
13824/1331 |
j-invariant |
L |
3.2189472185838 |
L(r)(E,1)/r! |
Ω |
1.0667284411801 |
Real period |
R |
0.50293137633396 |
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 |
3168h1 6336bw1 352e1 79200dy1 |
Quadratic twists by: -4 8 -3 5 |