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 |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-16602626880 = -1 · 26 · 32 · 5 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,6194] |
[a1,a2,a3,a4,a6] |
j |
-64/2205 |
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 |
47040eh1 23520g2 6720bs1 |
Quadratic twists by: -4 8 -7 |