Atkin-Lehner |
2+ 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16120a |
Isogeny class |
Conductor |
16120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18176 |
Modular degree for the optimal curve |
Δ |
-6705920 = -1 · 28 · 5 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 0 13+ 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30961,2086579] |
[a1,a2,a3,a4,a6] |
Generators |
[102:13:1] |
Generators of the group modulo torsion |
j |
-12821614410609664/26195 |
j-invariant |
L |
5.6445818246285 |
L(r)(E,1)/r! |
Ω |
1.5418237461147 |
Real period |
R |
0.45762216975615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32240d1 128960r1 80600y1 |
Quadratic twists by: -4 8 5 |