Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040fl |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.7172885064257E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47259585,125031134817] |
[a1,a2,a3,a4,a6] |
j |
378499465220294881/120530818800 |
j-invariant |
L |
1.0967685214201 |
L(r)(E,1)/r! |
Ω |
0.13709606518839 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040dm4 11760ch4 6720cd3 |
Quadratic twists by: -4 8 -7 |