Atkin-Lehner |
3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
6627g |
Isogeny class |
Conductor |
6627 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13248 |
Modular degree for the optimal curve |
Δ |
-41036472757503 = -1 · 34 · 477 |
Discriminant |
Eigenvalues |
-1 3- -2 0 -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4464,-329265] |
[a1,a2,a3,a4,a6] |
Generators |
[333489:3304491:2197] |
Generators of the group modulo torsion |
j |
-912673/3807 |
j-invariant |
L |
2.5568918107394 |
L(r)(E,1)/r! |
Ω |
0.2659641821763 |
Real period |
R |
9.6136697423586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
106032u1 19881k1 141c1 |
Quadratic twists by: -4 -3 -47 |