Atkin-Lehner |
2- 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
14664f |
Isogeny class |
Conductor |
14664 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-1065795926787072 = -1 · 210 · 33 · 135 · 473 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 -5 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-46112,-4137648] |
[a1,a2,a3,a4,a6] |
Generators |
[3544:210612:1] |
Generators of the group modulo torsion |
j |
-10589490159355012/1040816334753 |
j-invariant |
L |
6.2554079040689 |
L(r)(E,1)/r! |
Ω |
0.16199441937786 |
Real period |
R |
6.4358265427626 |
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 |
29328a1 117312m1 43992d1 |
Quadratic twists by: -4 8 -3 |