Atkin-Lehner |
2- 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68112bo |
Isogeny class |
Conductor |
68112 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-33326883040176 = -1 · 24 · 39 · 113 · 433 |
Discriminant |
Eigenvalues |
2- 3- -3 1 11+ 2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18264,-989809] |
[a1,a2,a3,a4,a6] |
Generators |
[61089101:46939358:389017] |
Generators of the group modulo torsion |
j |
-57764882808832/2857243059 |
j-invariant |
L |
5.7508952982074 |
L(r)(E,1)/r! |
Ω |
0.20474827043406 |
Real period |
R |
14.043818992102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000633 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17028s2 22704y2 |
Quadratic twists by: -4 -3 |