Atkin-Lehner |
2+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16192c |
Isogeny class |
Conductor |
16192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
16050028544 = 219 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 2 -3 5 11+ 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-737,4961] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:96:1] |
Generators of the group modulo torsion |
j |
169112377/61226 |
j-invariant |
L |
6.6252195829456 |
L(r)(E,1)/r! |
Ω |
1.1347844088168 |
Real period |
R |
1.4595767115477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16192bf1 506c1 |
Quadratic twists by: -4 8 |