Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8450f |
Isogeny class |
Conductor |
8450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-169000000000 = -1 · 29 · 59 · 132 |
Discriminant |
Eigenvalues |
2+ 2 5+ -1 -3 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1375,3125] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:305:8] |
Generators of the group modulo torsion |
j |
108750551/64000 |
j-invariant |
L |
4.2131483948634 |
L(r)(E,1)/r! |
Ω |
0.61868859893166 |
Real period |
R |
3.4049022417243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67600ca2 76050eg2 1690h2 8450q2 |
Quadratic twists by: -4 -3 5 13 |