Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16320bj |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
40 |
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 |
[13:204:1] |
Generators of the group modulo torsion |
j |
302111711/1404540 |
j-invariant |
L |
6.6951677523771 |
L(r)(E,1)/r! |
Ω |
0.68451907473371 |
Real period |
R |
0.97808344566316 |
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 |
16320cc1 510c1 48960ce1 81600bc1 |
Quadratic twists by: -4 8 -3 5 |