Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2112y |
Isogeny class |
Conductor |
2112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2162688 = 216 · 3 · 11 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11+ -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2817,-58497] |
[a1,a2,a3,a4,a6] |
Generators |
[194:2595:1] |
Generators of the group modulo torsion |
j |
37736227588/33 |
j-invariant |
L |
3.5491060243888 |
L(r)(E,1)/r! |
Ω |
0.65529977531834 |
Real period |
R |
5.4160037254166 |
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 |
2112g4 528b3 6336ck4 52800eo4 |
Quadratic twists by: -4 8 -3 5 |