Atkin-Lehner |
2- 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
110110cb |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
6893568 |
Modular degree for the optimal curve |
Δ |
-1.2935693676029E+19 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14695876,21678663733] |
[a1,a2,a3,a4,a6] |
j |
-148859304001180739/5485996880 |
j-invariant |
L |
6.7217246706071 |
L(r)(E,1)/r! |
Ω |
0.21005391472096 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110110c1 |
Quadratic twists by: -11 |