Atkin-Lehner |
2- 23- |
Signs for the Atkin-Lehner involutions |
Class |
8464n |
Isogeny class |
Conductor |
8464 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-54477207152 = -1 · 24 · 237 |
Discriminant |
Eigenvalues |
2- -1 0 2 0 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,882,4663] |
[a1,a2,a3,a4,a6] |
Generators |
[147:2645:27] |
Generators of the group modulo torsion |
j |
32000/23 |
j-invariant |
L |
3.7308949930288 |
L(r)(E,1)/r! |
Ω |
0.71111598015134 |
Real period |
R |
2.6232675802299 |
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 |
2116c1 33856be1 76176br1 368e1 |
Quadratic twists by: -4 8 -3 -23 |