Atkin-Lehner |
2+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
17264a |
Isogeny class |
Conductor |
17264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-14363648 = -1 · 210 · 132 · 83 |
Discriminant |
Eigenvalues |
2+ -1 0 1 -3 13+ 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-248,1600] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:52:1] [0:40:1] |
Generators of the group modulo torsion |
j |
-1653974500/14027 |
j-invariant |
L |
6.110252056221 |
L(r)(E,1)/r! |
Ω |
2.2352806470678 |
Real period |
R |
0.34169378598144 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8632a1 69056n1 |
Quadratic twists by: -4 8 |