Atkin-Lehner |
3+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
10197c |
Isogeny class |
Conductor |
10197 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
393792 |
Modular degree for the optimal curve |
Δ |
-2.9291204824721E+20 |
Discriminant |
Eigenvalues |
1 3+ -3 -2 11- 5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-201381,824214806] |
[a1,a2,a3,a4,a6] |
j |
-45886941541955331/14881473771640927 |
j-invariant |
L |
0.56250203330331 |
L(r)(E,1)/r! |
Ω |
0.14062550832583 |
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 |
10197a1 112167e1 |
Quadratic twists by: -3 -11 |