Atkin-Lehner |
3- 7+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
14469g |
Isogeny class |
Conductor |
14469 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
-597494446731 = -1 · 34 · 77 · 132 · 53 |
Discriminant |
Eigenvalues |
0 3- 1 7+ -3 13- -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-54425,-4905367] |
[a1,a2,a3,a4,a6] |
j |
-17829000819050807296/597494446731 |
j-invariant |
L |
1.2502832079033 |
L(r)(E,1)/r! |
Ω |
0.15628540098791 |
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 |
43407e1 101283d1 |
Quadratic twists by: -3 -7 |