Atkin-Lehner |
2+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
13120l |
Isogeny class |
Conductor |
13120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4198400000000 = 218 · 58 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14828,-687952] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:64:1] [-67:69:1] |
Generators of the group modulo torsion |
j |
1375407924561/16015625 |
j-invariant |
L |
5.703902942481 |
L(r)(E,1)/r! |
Ω |
0.43294686030979 |
Real period |
R |
6.5873014281707 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13120bi3 205a3 118080ci4 65600r4 |
Quadratic twists by: -4 8 -3 5 |