Atkin-Lehner |
2+ 3- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
16434d |
Isogeny class |
Conductor |
16434 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-10649232 = -1 · 24 · 36 · 11 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 11+ 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,48,80] |
[a1,a2,a3,a4,a6] |
Generators |
[4:16:1] |
Generators of the group modulo torsion |
j |
16581375/14608 |
j-invariant |
L |
3.0342084950248 |
L(r)(E,1)/r! |
Ω |
1.4844461909507 |
Real period |
R |
0.51100008095977 |
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 |
1826b1 |
Quadratic twists by: -3 |