Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16320y |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-2601000000 = -1 · 26 · 32 · 56 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 6 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-696,7254] |
[a1,a2,a3,a4,a6] |
j |
-583438782016/40640625 |
j-invariant |
L |
2.834996091267 |
L(r)(E,1)/r! |
Ω |
1.4174980456335 |
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 |
16320e1 8160c2 48960dh1 81600bj1 |
Quadratic twists by: -4 8 -3 5 |