Atkin-Lehner |
2+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16192b |
Isogeny class |
Conductor |
16192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
543313362944 = 231 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 2 1 -1 11+ 3 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5505,155009] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:552:1] |
Generators of the group modulo torsion |
j |
70393838689/2072576 |
j-invariant |
L |
7.2902140386978 |
L(r)(E,1)/r! |
Ω |
0.91999896576404 |
Real period |
R |
3.9620773011649 |
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 |
16192be1 506f1 |
Quadratic twists by: -4 8 |