Atkin-Lehner |
2- 5- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
43160k |
Isogeny class |
Conductor |
43160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
113664 |
Modular degree for the optimal curve |
Δ |
-160250058800 = -1 · 24 · 52 · 136 · 83 |
Discriminant |
Eigenvalues |
2- 3 5- 3 3 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9502,357029] |
[a1,a2,a3,a4,a6] |
j |
-5929919636023296/10015628675 |
j-invariant |
L |
8.1831942489966 |
L(r)(E,1)/r! |
Ω |
1.0228992811346 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86320h1 |
Quadratic twists by: -4 |