Atkin-Lehner |
2- 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970cj |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.7057175642806E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-996256,289499486] |
[a1,a2,a3,a4,a6] |
j |
61727754446114329/15273070271250 |
j-invariant |
L |
1.5831072634279 |
L(r)(E,1)/r! |
Ω |
0.19788840977264 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270j4 |
Quadratic twists by: -11 |