Atkin-Lehner |
3- 11+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52173i |
Isogeny class |
Conductor |
52173 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-12463818175017 = -1 · 38 · 112 · 17 · 314 |
Discriminant |
Eigenvalues |
1 3- 4 0 11+ 6 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5130,222313] |
[a1,a2,a3,a4,a6] |
j |
-20483110046881/17097144273 |
j-invariant |
L |
5.2156570214779 |
L(r)(E,1)/r! |
Ω |
0.65195712765811 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17391b2 |
Quadratic twists by: -3 |