Atkin-Lehner |
2+ 3- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
68112k |
Isogeny class |
Conductor |
68112 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-27056074180608 = -1 · 211 · 310 · 112 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -4 4 11+ 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12387,586690] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:774:1] |
Generators of the group modulo torsion |
j |
-140787677378/18122049 |
j-invariant |
L |
5.6953768136866 |
L(r)(E,1)/r! |
Ω |
0.64692715512421 |
Real period |
R |
1.1004671796418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982803 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34056k2 22704q2 |
Quadratic twists by: -4 -3 |