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 |
23123460096 = 218 · 36 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-737,-2175] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:60:1] |
Generators of the group modulo torsion |
j |
169112377/88209 |
j-invariant |
L |
2.7231090972742 |
L(r)(E,1)/r! |
Ω |
0.97037442946747 |
Real period |
R |
2.8062457280213 |
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 |
2112l2 528h2 6336cc2 52800hf2 |
Quadratic twists by: -4 8 -3 5 |