Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966v |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
816026928222156 = 22 · 3 · 712 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 6 -6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-47359,3701545] |
[a1,a2,a3,a4,a6] |
j |
20324066489/1411788 |
j-invariant |
L |
1.9700909763978 |
L(r)(E,1)/r! |
Ω |
0.49252277428754 |
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 |
12138i2 84966ca2 |
Quadratic twists by: -7 17 |