Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12168q |
Isogeny class |
Conductor |
12168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
64857485002752 = 211 · 38 · 136 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-584571,172029494] |
[a1,a2,a3,a4,a6] |
Generators |
[77030:846054:125] |
Generators of the group modulo torsion |
j |
3065617154/9 |
j-invariant |
L |
4.2640920079595 |
L(r)(E,1)/r! |
Ω |
0.53987218418482 |
Real period |
R |
7.8983361856253 |
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 |
24336i6 97344bp6 4056a5 72a5 |
Quadratic twists by: -4 8 -3 13 |