Atkin-Lehner |
2- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
16048bc |
Isogeny class |
Conductor |
16048 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-93330903597056 = -1 · 216 · 176 · 59 |
Discriminant |
Eigenvalues |
2- -1 -3 1 0 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,488,464624] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:544:1] [50:782:1] |
Generators of the group modulo torsion |
j |
3131359847/22785865136 |
j-invariant |
L |
5.1868308875762 |
L(r)(E,1)/r! |
Ω |
0.47396659552172 |
Real period |
R |
0.45597718423837 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2006c1 64192cc1 |
Quadratic twists by: -4 8 |