Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040gg |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
421478400 = 214 · 3 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-401,2799] |
[a1,a2,a3,a4,a6] |
j |
1272112/75 |
j-invariant |
L |
3.303183811542 |
L(r)(E,1)/r! |
Ω |
1.6515919058591 |
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 |
47040s2 11760r2 47040fj2 |
Quadratic twists by: -4 8 -7 |