Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040eh |
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] |
Generators |
[6155:41454:125] |
Generators of the group modulo torsion |
j |
-64/2205 |
j-invariant |
L |
5.4573062241621 |
L(r)(E,1)/r! |
Ω |
0.56382880808097 |
Real period |
R |
4.8395063767159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040fz1 23520s2 6720ch1 |
Quadratic twists by: -4 8 -7 |