Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16560s |
Isogeny class |
Conductor |
16560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-923858394888960 = -1 · 28 · 322 · 5 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -2 2 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2532,-1463204] |
[a1,a2,a3,a4,a6] |
Generators |
[80225:22722939:1] |
Generators of the group modulo torsion |
j |
-9619385344/4950372915 |
j-invariant |
L |
4.5543306432148 |
L(r)(E,1)/r! |
Ω |
0.22336389142532 |
Real period |
R |
10.194867698071 |
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 |
8280m1 66240eo1 5520h1 82800bj1 |
Quadratic twists by: -4 8 -3 5 |