Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040dm |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
3.748740328489E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23676865,43346575775] |
[a1,a2,a3,a4,a6] |
j |
47595748626367201/1215506250000 |
j-invariant |
L |
3.6852363950408 |
L(r)(E,1)/r! |
Ω |
0.11516363734468 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47040fl3 1470k4 6720c3 |
Quadratic twists by: -4 8 -7 |