Atkin-Lehner |
2+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16544a |
Isogeny class |
Conductor |
16544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
23293952 = 212 · 112 · 47 |
Discriminant |
Eigenvalues |
2+ 0 -2 -2 11+ 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-236,1376] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:44:1] |
Generators of the group modulo torsion |
j |
354894912/5687 |
j-invariant |
L |
3.3070494832655 |
L(r)(E,1)/r! |
Ω |
2.1402445666939 |
Real period |
R |
0.77258681898535 |
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 |
16544h2 33088k1 |
Quadratic twists by: -4 8 |