Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12168q |
Isogeny class |
Conductor |
12168 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8107185625344 = 28 · 38 · 136 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6591,-153790] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:216:1] |
Generators of the group modulo torsion |
j |
35152/9 |
j-invariant |
L |
4.2640920079595 |
L(r)(E,1)/r! |
Ω |
0.53987218418482 |
Real period |
R |
1.9745840464063 |
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 |
24336i2 97344bp2 4056a2 72a2 |
Quadratic twists by: -4 8 -3 13 |