Atkin-Lehner |
17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
117113c |
Isogeny class |
Conductor |
117113 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
94485767903641 = 172 · 836 |
Discriminant |
Eigenvalues |
1 0 2 4 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39181,2958072] |
[a1,a2,a3,a4,a6] |
Generators |
[23390881851247104962804652:-9636153253703002115701911566:5752925634190346341723917] |
Generators of the group modulo torsion |
j |
20346417/289 |
j-invariant |
L |
11.687357476853 |
L(r)(E,1)/r! |
Ω |
0.60276804484373 |
Real period |
R |
38.778955188876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999800742 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17a2 |
Quadratic twists by: -83 |