Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10350j |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-9431437500 = -1 · 22 · 38 · 56 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 6 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-342,-5184] |
[a1,a2,a3,a4,a6] |
j |
-389017/828 |
j-invariant |
L |
2.0810781393619 |
L(r)(E,1)/r! |
Ω |
0.52026953484049 |
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 |
82800ek1 3450x1 414b1 |
Quadratic twists by: -4 -3 5 |