Atkin-Lehner |
2- 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240cy |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
3.6465729572786E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-867440,110553300] |
[a1,a2,a3,a4,a6] |
Generators |
[18:9744:1] |
Generators of the group modulo torsion |
j |
17623111911423122161/8902766008980900 |
j-invariant |
L |
9.0932574146851 |
L(r)(E,1)/r! |
Ω |
0.1819358369976 |
Real period |
R |
4.1650477643623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000105 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
9030r3 |
Quadratic twists by: -4 |