Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040fz |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
252992409600 = 212 · 3 · 52 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5161,138935] |
[a1,a2,a3,a4,a6] |
j |
31554496/525 |
j-invariant |
L |
1.9726366838321 |
L(r)(E,1)/r! |
Ω |
0.98631834183523 |
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 |
47040eh2 23520g1 6720bs2 |
Quadratic twists by: -4 8 -7 |