Atkin-Lehner |
2- 3- 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
112140n |
Isogeny class |
Conductor |
112140 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-1.336920043725E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-389847,564136414] |
[a1,a2,a3,a4,a6] |
Generators |
[798:27590:1] |
Generators of the group modulo torsion |
j |
-35110645028117584/716370908203125 |
j-invariant |
L |
5.5905790000755 |
L(r)(E,1)/r! |
Ω |
0.15527207362146 |
Real period |
R |
3.6005051564924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999996913 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37380h2 |
Quadratic twists by: -3 |