Atkin-Lehner |
2- 3- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
89352n |
Isogeny class |
Conductor |
89352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-6253210368 = -1 · 28 · 39 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -2 -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,105,-3782] |
[a1,a2,a3,a4,a6] |
Generators |
[17:54:1] |
Generators of the group modulo torsion |
j |
686000/33507 |
j-invariant |
L |
5.7977364632289 |
L(r)(E,1)/r! |
Ω |
0.64194069317541 |
Real period |
R |
0.56447352933501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29784e1 |
Quadratic twists by: -3 |