Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16320cs |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-32640000 = -1 · 210 · 3 · 54 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,35,275] |
[a1,a2,a3,a4,a6] |
j |
4499456/31875 |
j-invariant |
L |
3.0218933857925 |
L(r)(E,1)/r! |
Ω |
1.5109466928963 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16320l1 4080a1 48960eq1 81600gc1 |
Quadratic twists by: -4 8 -3 5 |