Atkin-Lehner |
2+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16192h |
Isogeny class |
Conductor |
16192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
8489271296 = 225 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 2 -1 -1 11- -3 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3041,-63391] |
[a1,a2,a3,a4,a6] |
j |
11867954041/32384 |
j-invariant |
L |
2.5719632988344 |
L(r)(E,1)/r! |
Ω |
0.6429908247086 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16192w1 506a1 |
Quadratic twists by: -4 8 |