Atkin-Lehner |
3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43095l |
Isogeny class |
Conductor |
43095 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
559104 |
Modular degree for the optimal curve |
Δ |
-4394239427686875 = -1 · 3 · 54 · 1310 · 17 |
Discriminant |
Eigenvalues |
-2 3- 5+ -4 3 13+ 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-180886,29722216] |
[a1,a2,a3,a4,a6] |
j |
-4747964416/31875 |
j-invariant |
L |
0.87774491209428 |
L(r)(E,1)/r! |
Ω |
0.43887245606067 |
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 |
129285bf1 43095o1 |
Quadratic twists by: -3 13 |