Atkin-Lehner |
2+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14144n |
Isogeny class |
Conductor |
14144 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
2299006042112 = 214 · 134 · 173 |
Discriminant |
Eigenvalues |
2+ 2 -2 2 2 13- 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5649,-144367] |
[a1,a2,a3,a4,a6] |
Generators |
[203:2652:1] |
Generators of the group modulo torsion |
j |
1217013440848/140320193 |
j-invariant |
L |
6.6325732767753 |
L(r)(E,1)/r! |
Ω |
0.55481943254814 |
Real period |
R |
0.99620598577956 |
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 |
14144bf1 1768d1 127296ba1 |
Quadratic twists by: -4 8 -3 |