Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040gx |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2560481280000 = 214 · 36 · 54 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93585,10987983] |
[a1,a2,a3,a4,a6] |
Generators |
[171:120:1] |
Generators of the group modulo torsion |
j |
16129950234928/455625 |
j-invariant |
L |
7.9096627707849 |
L(r)(E,1)/r! |
Ω |
0.75513487733847 |
Real period |
R |
0.21821881891938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040bj2 11760bp2 47040ek2 |
Quadratic twists by: -4 8 -7 |