Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3168t |
Isogeny class |
Conductor |
3168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-32845824 = -1 · 212 · 36 · 11 |
Discriminant |
Eigenvalues |
2- 3- -1 4 11+ -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-408,3184] |
[a1,a2,a3,a4,a6] |
Generators |
[12:4:1] |
Generators of the group modulo torsion |
j |
-2515456/11 |
j-invariant |
L |
3.5214334600228 |
L(r)(E,1)/r! |
Ω |
2.0862809006244 |
Real period |
R |
0.84394998271058 |
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 |
3168x1 6336cg1 352a1 79200bg1 |
Quadratic twists by: -4 8 -3 5 |