Atkin-Lehner |
2- 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47880v |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
160876800 = 28 · 33 · 52 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-447,3586] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-30:1] |
Generators of the group modulo torsion |
j |
1429033968/23275 |
j-invariant |
L |
6.460966946782 |
L(r)(E,1)/r! |
Ω |
1.8216826620564 |
Real period |
R |
0.44333784647075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999823 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760q1 47880a1 |
Quadratic twists by: -4 -3 |