Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
47040go |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-17294403000000 = -1 · 26 · 3 · 56 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40245,3100593] |
[a1,a2,a3,a4,a6] |
j |
-19539165184/46875 |
j-invariant |
L |
4.1652274438709 |
L(r)(E,1)/r! |
Ω |
0.69420457402943 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47040x2 11760bk2 47040dz2 |
Quadratic twists by: -4 8 -7 |