Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83232j |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6772191222193095168 = 29 · 38 · 1710 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-500259,-53581178] |
[a1,a2,a3,a4,a6] |
j |
1536800264/751689 |
j-invariant |
L |
0.75453673797347 |
L(r)(E,1)/r! |
Ω |
0.18863419436868 |
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 |
83232i3 27744z3 4896b2 |
Quadratic twists by: -4 -3 17 |