Atkin-Lehner |
2- 3+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
3216f |
Isogeny class |
Conductor |
3216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-990467899392 = -1 · 214 · 3 · 674 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-472,-47888] |
[a1,a2,a3,a4,a6] |
Generators |
[22782:661130:27] |
Generators of the group modulo torsion |
j |
-2845178713/241813452 |
j-invariant |
L |
3.210185131508 |
L(r)(E,1)/r! |
Ω |
0.3882146663108 |
Real period |
R |
8.2690980276824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
402b4 12864bj4 9648q4 80400cs3 |
Quadratic twists by: -4 8 -3 5 |