Atkin-Lehner |
2- 5- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
110110cj |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
5322240 |
Modular degree for the optimal curve |
Δ |
-2.6341776213005E+20 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11- 13+ -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1057840,659173120] |
[a1,a2,a3,a4,a6] |
j |
610720024441439/1228863301120 |
j-invariant |
L |
2.1707600858791 |
L(r)(E,1)/r! |
Ω |
0.12059777955875 |
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 |
110110bm1 |
Quadratic twists by: -11 |