Atkin-Lehner |
2+ 3- 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63984i |
Isogeny class |
Conductor |
63984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-85290672 = -1 · 24 · 3 · 312 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 6 -6 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-443,-3768] |
[a1,a2,a3,a4,a6] |
j |
-602275072000/5330667 |
j-invariant |
L |
4.6795071988026 |
L(r)(E,1)/r! |
Ω |
0.51994524447295 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31992d1 |
Quadratic twists by: -4 |