Atkin-Lehner |
3- 5- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6555n |
Isogeny class |
Conductor |
6555 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
57960 |
Modular degree for the optimal curve |
Δ |
-190480682373046875 = -1 · 33 · 515 · 19 · 233 |
Discriminant |
Eigenvalues |
0 3- 5- -4 -3 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,118445,13994881] |
[a1,a2,a3,a4,a6] |
j |
183768149583461187584/190480682373046875 |
j-invariant |
L |
1.0537092591343 |
L(r)(E,1)/r! |
Ω |
0.21074185182687 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
104880ca1 19665r1 32775h1 124545q1 |
Quadratic twists by: -4 -3 5 -19 |