Atkin-Lehner |
2- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86632x |
Isogeny class |
Conductor |
86632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-491437654571508736 = -1 · 210 · 76 · 132 · 176 |
Discriminant |
Eigenvalues |
2- 2 -2 7- -2 13- 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,96416,31666524] |
[a1,a2,a3,a4,a6] |
j |
822769797308/4079249161 |
j-invariant |
L |
3.3889672493755 |
L(r)(E,1)/r! |
Ω |
0.2118104570356 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1768d2 |
Quadratic twists by: -7 |