Atkin-Lehner |
2+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16192l |
Isogeny class |
Conductor |
16192 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-1507539968 = -1 · 210 · 112 · 233 |
Discriminant |
Eigenvalues |
2+ -1 0 -4 11- -5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,87,-1871] |
[a1,a2,a3,a4,a6] |
Generators |
[40:253:1] |
Generators of the group modulo torsion |
j |
70304000/1472207 |
j-invariant |
L |
2.5430236433448 |
L(r)(E,1)/r! |
Ω |
0.73292327797757 |
Real period |
R |
0.57828327551602 |
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 |
16192q1 1012b1 |
Quadratic twists by: -4 8 |