Atkin-Lehner |
3- 7- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
106533k |
Isogeny class |
Conductor |
106533 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
10347692382543537 = 311 · 72 · 19 · 894 |
Discriminant |
Eigenvalues |
-1 3- -4 7- 6 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-167207,25899230] |
[a1,a2,a3,a4,a6] |
j |
709181035629709609/14194365408153 |
j-invariant |
L |
1.6258355470483 |
L(r)(E,1)/r! |
Ω |
0.40645884176286 |
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 |
35511d1 |
Quadratic twists by: -3 |