Atkin-Lehner |
3- 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
6555l |
Isogeny class |
Conductor |
6555 |
Conductor |
∏ cp |
77 |
Product of Tamagawa factors cp |
deg |
286440 |
Modular degree for the optimal curve |
Δ |
-18209870149092795 = -1 · 311 · 5 · 197 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ 4 3 7 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-13186931,-18436026235] |
[a1,a2,a3,a4,a6] |
j |
-253603326794038661309169664/18209870149092795 |
j-invariant |
L |
3.0501721131581 |
L(r)(E,1)/r! |
Ω |
0.03961262484621 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104880bd1 19665x1 32775f1 124545n1 |
Quadratic twists by: -4 -3 5 -19 |