Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2112y |
Isogeny class |
Conductor |
2112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2878537728 = 216 · 3 · 114 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11+ -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-417,1887] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:48:1] |
Generators of the group modulo torsion |
j |
122657188/43923 |
j-invariant |
L |
3.5491060243888 |
L(r)(E,1)/r! |
Ω |
1.3105995506367 |
Real period |
R |
1.3540009313541 |
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 |
2112g3 528b4 6336ck3 52800eo3 |
Quadratic twists by: -4 8 -3 5 |