Atkin-Lehner |
2- 3- 5- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
33060q |
Isogeny class |
Conductor |
33060 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
Δ |
-1.238122828125E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1354300,-809523052] |
[a1,a2,a3,a4,a6] |
Generators |
[13891:1631250:1] |
Generators of the group modulo torsion |
j |
-1073071604794726699216/483641729736328125 |
j-invariant |
L |
6.2436705150976 |
L(r)(E,1)/r! |
Ω |
0.068483039692984 |
Real period |
R |
2.1707392436797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99180e2 |
Quadratic twists by: -3 |