Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16758bd |
Isogeny class |
Conductor |
16758 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
25146452400442128 = 24 · 315 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3440030,2456639133] |
[a1,a2,a3,a4,a6] |
j |
52492168638015625/293197968 |
j-invariant |
L |
2.6822126952874 |
L(r)(E,1)/r! |
Ω |
0.33527658691092 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5586a1 2394n1 |
Quadratic twists by: -3 -7 |