Atkin-Lehner |
3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
9675o |
Isogeny class |
Conductor |
9675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-76768313203125 = -1 · 312 · 57 · 432 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 2 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,558,-421659] |
[a1,a2,a3,a4,a6] |
Generators |
[1614:21639:8] |
Generators of the group modulo torsion |
j |
1685159/6739605 |
j-invariant |
L |
4.4606098063062 |
L(r)(E,1)/r! |
Ω |
0.2833253595735 |
Real period |
R |
3.9359429500249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3225g2 1935f2 |
Quadratic twists by: -3 5 |