Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384cn |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.8289849107683E+21 |
Discriminant |
Eigenvalues |
2- 3- 1 2 11+ -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7076172,-7531636592] |
[a1,a2,a3,a4,a6] |
Generators |
[4370319732910:1489662295678656:37595375] |
Generators of the group modulo torsion |
j |
-205046048384508241/9570677281176 |
j-invariant |
L |
7.2400204795356 |
L(r)(E,1)/r! |
Ω |
0.046157058206861 |
Real period |
R |
19.607024258045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120384br2 30096bj2 40128by2 |
Quadratic twists by: -4 8 -3 |