Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040hc |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
-1.1065887995904E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3073345,-2620597057] |
[a1,a2,a3,a4,a6] |
Generators |
[2351:56160:1] |
Generators of the group modulo torsion |
j |
-104094944089921/35880468750 |
j-invariant |
L |
8.6654025178516 |
L(r)(E,1)/r! |
Ω |
0.056037414095038 |
Real period |
R |
2.4161877654063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47040bq5 11760br6 6720bg6 |
Quadratic twists by: -4 8 -7 |