Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
3168q |
Isogeny class |
Conductor |
3168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
13381632 = 212 · 33 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11- -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60,32] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:12:1] |
Generators of the group modulo torsion |
j |
216000/121 |
j-invariant |
L |
3.2797188707998 |
L(r)(E,1)/r! |
Ω |
1.9334681418551 |
Real period |
R |
0.42407200819624 |
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 |
3168a2 6336c1 3168b2 79200i2 |
Quadratic twists by: -4 8 -3 5 |