Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
16758bp |
Isogeny class |
Conductor |
16758 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
15212051452119312 = 24 · 311 · 710 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-71231,-4263465] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:1626:1] |
Generators of the group modulo torsion |
j |
466025146777/177366672 |
j-invariant |
L |
7.0529685667895 |
L(r)(E,1)/r! |
Ω |
0.30174680425191 |
Real period |
R |
2.9217246327907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5586j1 2394m1 |
Quadratic twists by: -3 -7 |