Atkin-Lehner |
2- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8228a |
Isogeny class |
Conductor |
8228 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
26928 |
Modular degree for the optimal curve |
Δ |
-10261788351232 = -1 · 28 · 119 · 17 |
Discriminant |
Eigenvalues |
2- -2 0 -1 11+ -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-141973,-20637993] |
[a1,a2,a3,a4,a6] |
j |
-524288000/17 |
j-invariant |
L |
0.73785031959776 |
L(r)(E,1)/r! |
Ω |
0.12297505326629 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32912p1 74052d1 8228b1 |
Quadratic twists by: -4 -3 -11 |