Atkin-Lehner |
2+ 3- 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650bi |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2246400 |
Modular degree for the optimal curve |
Δ |
-1.48489744158E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 1 0 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6678451,6644990798] |
[a1,a2,a3,a4,a6] |
j |
-84331692327261015625/38013374504448 |
j-invariant |
L |
2.1840795846807 |
L(r)(E,1)/r! |
Ω |
0.21840795825575 |
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 |
55650cg1 |
Quadratic twists by: 5 |