Atkin-Lehner |
2- 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
20664k |
Isogeny class |
Conductor |
20664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-388813824 = -1 · 210 · 33 · 73 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 0 5 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,-2826] |
[a1,a2,a3,a4,a6] |
Generators |
[27:84:1] |
Generators of the group modulo torsion |
j |
-191328588/14063 |
j-invariant |
L |
4.4706598522757 |
L(r)(E,1)/r! |
Ω |
0.54457910029938 |
Real period |
R |
2.0523464129536 |
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 |
41328f1 20664a1 |
Quadratic twists by: -4 -3 |