Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320z |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
7050240 = 210 · 34 · 5 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9181,335555] |
[a1,a2,a3,a4,a6] |
Generators |
[71:216:1] |
Generators of the group modulo torsion |
j |
83587439220736/6885 |
j-invariant |
L |
5.7464515503655 |
L(r)(E,1)/r! |
Ω |
1.8024033440091 |
Real period |
R |
1.5941081027912 |
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 |
16320bs1 2040c1 48960ck1 81600a1 |
Quadratic twists by: -4 8 -3 5 |