Atkin-Lehner |
3- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
20097j |
Isogeny class |
Conductor |
20097 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
58500297009 = 39 · 7 · 114 · 29 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1391,16566] |
[a1,a2,a3,a4,a6] |
j |
408023180713/80247321 |
j-invariant |
L |
1.0550884026748 |
L(r)(E,1)/r! |
Ω |
1.0550884026748 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6699a1 |
Quadratic twists by: -3 |