Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970cv |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-8.0066187964841E+28 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1054698615,3395048681817] |
[a1,a2,a3,a4,a6] |
Generators |
[-108980874:-156948299451:103823] |
Generators of the group modulo torsion |
j |
73240740785321709623685719/45195275784938365817280 |
j-invariant |
L |
15.129774972027 |
L(r)(E,1)/r! |
Ω |
0.021168054133558 |
Real period |
R |
14.890534729623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000517 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270l8 |
Quadratic twists by: -11 |