Atkin-Lehner |
2- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
13120bj |
Isogeny class |
Conductor |
13120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.85189072896E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1378988,656776912] |
[a1,a2,a3,a4,a6] |
Generators |
[-708:35752:1] |
Generators of the group modulo torsion |
j |
-1106280483969259521/70644025000000 |
j-invariant |
L |
3.3715053604694 |
L(r)(E,1)/r! |
Ω |
0.21438992887238 |
Real period |
R |
3.9315108902298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13120k4 3280n4 118080fr3 65600bw3 |
Quadratic twists by: -4 8 -3 5 |