Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
20640u |
Isogeny class |
Conductor |
20640 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
6987622464000 = 29 · 310 · 53 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4816,-21016] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:258:1] |
Generators of the group modulo torsion |
j |
24132558086792/13647700125 |
j-invariant |
L |
5.798819772585 |
L(r)(E,1)/r! |
Ω |
0.61787186625664 |
Real period |
R |
0.93851493962931 |
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 |
20640p2 41280co2 61920r2 103200j2 |
Quadratic twists by: -4 8 -3 5 |