Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12720y |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
2076650348544000000 = 219 · 314 · 56 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-487776,111130740] |
[a1,a2,a3,a4,a6] |
Generators |
[186:5184:1] |
Generators of the group modulo torsion |
j |
3133472866308360289/506994714000000 |
j-invariant |
L |
4.4425599429272 |
L(r)(E,1)/r! |
Ω |
0.24979891047515 |
Real period |
R |
0.63516231837339 |
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 |
1590k2 50880dc2 38160cj2 63600cc2 |
Quadratic twists by: -4 8 -3 5 |