Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16320cc |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-368191733760 = -1 · 220 · 35 · 5 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,895,-27615] |
[a1,a2,a3,a4,a6] |
Generators |
[597:14592:1] |
Generators of the group modulo torsion |
j |
302111711/1404540 |
j-invariant |
L |
3.8466229852193 |
L(r)(E,1)/r! |
Ω |
0.48132599309791 |
Real period |
R |
3.9958604359404 |
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 |
16320bj1 4080z1 48960ex1 81600it1 |
Quadratic twists by: -4 8 -3 5 |