Atkin-Lehner |
2- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
16048s |
Isogeny class |
Conductor |
16048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-5291119462055936 = -1 · 230 · 174 · 59 |
Discriminant |
Eigenvalues |
2- 1 1 1 2 2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16040,3416596] |
[a1,a2,a3,a4,a6] |
Generators |
[-31770:1183744:729] |
Generators of the group modulo torsion |
j |
111416568869159/1291777212416 |
j-invariant |
L |
6.388302339646 |
L(r)(E,1)/r! |
Ω |
0.31706122784274 |
Real period |
R |
2.518560209613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2006b1 64192bm1 |
Quadratic twists by: -4 8 |