Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8160p |
Isogeny class |
Conductor |
8160 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-14482541400000 = -1 · 26 · 3 · 55 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-150,183048] |
[a1,a2,a3,a4,a6] |
j |
-5870966464/226289709375 |
j-invariant |
L |
2.8044826003187 |
L(r)(E,1)/r! |
Ω |
0.56089652006375 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8160j1 16320bp1 24480k1 40800g1 |
Quadratic twists by: -4 8 -3 5 |