Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440en |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-4.0916563500375E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,407373,291030514] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:16758:1] |
Generators of the group modulo torsion |
j |
2503876820718671/13702874328990 |
j-invariant |
L |
6.8111580496269 |
L(r)(E,1)/r! |
Ω |
0.14703262047053 |
Real period |
R |
1.9301720336618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999842 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930m4 18480ct4 |
Quadratic twists by: -4 -3 |