Atkin-Lehner |
2- 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168cu |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-37439926272 = -1 · 212 · 34 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 6 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1113,-17433] |
[a1,a2,a3,a4,a6] |
Generators |
[63:408:1] |
Generators of the group modulo torsion |
j |
-37259704000/9140607 |
j-invariant |
L |
8.3528197587872 |
L(r)(E,1)/r! |
Ω |
0.40797267570175 |
Real period |
R |
2.5592460771107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999077 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168cs1 31584o1 |
Quadratic twists by: -4 8 |