Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
21648z |
Isogeny class |
Conductor |
21648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-266010624 = -1 · 216 · 32 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 1 11+ -2 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,144,468] |
[a1,a2,a3,a4,a6] |
Generators |
[18:96:1] |
Generators of the group modulo torsion |
j |
80062991/64944 |
j-invariant |
L |
5.8627957061072 |
L(r)(E,1)/r! |
Ω |
1.1252166800867 |
Real period |
R |
0.65129630251033 |
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 |
2706m1 86592ch1 64944br1 |
Quadratic twists by: -4 8 -3 |