Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320r |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-1069547520 = -1 · 222 · 3 · 5 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,255,-255] |
[a1,a2,a3,a4,a6] |
Generators |
[106:581:8] |
Generators of the group modulo torsion |
j |
6967871/4080 |
j-invariant |
L |
4.1806248462186 |
L(r)(E,1)/r! |
Ω |
0.91423377482111 |
Real period |
R |
4.5728182018178 |
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 |
16320cz1 510f1 48960bg1 81600co1 |
Quadratic twists by: -4 8 -3 5 |