Atkin-Lehner |
3- 7- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
14469i |
Isogeny class |
Conductor |
14469 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
-3505329206271711 = -1 · 39 · 76 · 134 · 53 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 2 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2411,-2847976] |
[a1,a2,a3,a4,a6] |
Generators |
[185:1892:1] |
Generators of the group modulo torsion |
j |
1549901451745583/3505329206271711 |
j-invariant |
L |
3.4688542000009 |
L(r)(E,1)/r! |
Ω |
0.20649260742844 |
Real period |
R |
0.62218247462462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43407n1 101283g1 |
Quadratic twists by: -3 -7 |