Atkin-Lehner |
2- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
33200x |
Isogeny class |
Conductor |
33200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-5312000000 = -1 · 212 · 56 · 83 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 -3 6 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,392,1712] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:8:1] [2:50:1] |
Generators of the group modulo torsion |
j |
103823/83 |
j-invariant |
L |
6.676999948587 |
L(r)(E,1)/r! |
Ω |
0.87527048778201 |
Real period |
R |
0.95356236183448 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2075a1 1328e1 |
Quadratic twists by: -4 5 |