Atkin-Lehner |
2- 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
14868d |
Isogeny class |
Conductor |
14868 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-728668964016 = -1 · 24 · 38 · 76 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -6 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,564,40745] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:133:1] [-8:189:1] |
Generators of the group modulo torsion |
j |
1701036032/62471619 |
j-invariant |
L |
6.1354187966659 |
L(r)(E,1)/r! |
Ω |
0.68141739798916 |
Real period |
R |
0.50021704878775 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59472bf1 4956a1 104076v1 |
Quadratic twists by: -4 -3 -7 |