Atkin-Lehner |
2+ 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
8256t |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-11395518234624 = -1 · 216 · 37 · 433 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 -1 -1 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1601,163743] |
[a1,a2,a3,a4,a6] |
Generators |
[163:2064:1] |
Generators of the group modulo torsion |
j |
-6929294404/173881809 |
j-invariant |
L |
5.1572301139238 |
L(r)(E,1)/r! |
Ω |
0.60066562607208 |
Real period |
R |
0.10221260203587 |
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 |
8256bc1 1032b1 24768z1 |
Quadratic twists by: -4 8 -3 |