Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12720w |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3.975E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2386856,3348222900] |
[a1,a2,a3,a4,a6] |
Generators |
[-123666115436275692:1935875612441406250:64572901005159] |
Generators of the group modulo torsion |
j |
-367149213333770500009/970458984375000000 |
j-invariant |
L |
5.037200843951 |
L(r)(E,1)/r! |
Ω |
0.12289846380034 |
Real period |
R |
20.493343399858 |
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 |
1590a4 50880cv3 38160cd3 63600bx3 |
Quadratic twists by: -4 8 -3 5 |