Atkin-Lehner |
2- 3- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
13806j |
Isogeny class |
Conductor |
13806 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-465206976 = -1 · 26 · 36 · 132 · 59 |
Discriminant |
Eigenvalues |
2- 3- 1 -5 0 13- 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,43,-1043] |
[a1,a2,a3,a4,a6] |
Generators |
[11:20:1] |
Generators of the group modulo torsion |
j |
12326391/638144 |
j-invariant |
L |
6.688481500416 |
L(r)(E,1)/r! |
Ω |
0.79648020429142 |
Real period |
R |
0.69979574553753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110448bn1 1534b1 |
Quadratic twists by: -4 -3 |