Atkin-Lehner |
2+ 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17160g |
Isogeny class |
Conductor |
17160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-1887600000000 = -1 · 210 · 3 · 58 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18320,-962832] |
[a1,a2,a3,a4,a6] |
Generators |
[516:11280:1] |
Generators of the group modulo torsion |
j |
-664085303622724/1843359375 |
j-invariant |
L |
6.465832414026 |
L(r)(E,1)/r! |
Ω |
0.2051464530161 |
Real period |
R |
3.9397661517931 |
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 |
34320f1 51480bl1 85800bq1 |
Quadratic twists by: -4 -3 5 |