Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
2112v |
Isogeny class |
Conductor |
2112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
103627358208 = 218 · 33 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9377,-346047] |
[a1,a2,a3,a4,a6] |
Generators |
[141:1056:1] |
Generators of the group modulo torsion |
j |
347873904937/395307 |
j-invariant |
L |
2.7231090972742 |
L(r)(E,1)/r! |
Ω |
0.48518721473373 |
Real period |
R |
1.4031228640107 |
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 |
2112l3 528h3 6336cc3 52800hf4 |
Quadratic twists by: -4 8 -3 5 |