Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
68208cy |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.0985375302877E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1557824,552464436] |
[a1,a2,a3,a4,a6] |
Generators |
[22084:479457:64] |
Generators of the group modulo torsion |
j |
867622835347633/227964231936 |
j-invariant |
L |
5.2819778124426 |
L(r)(E,1)/r! |
Ω |
0.17551314853174 |
Real period |
R |
7.5236212438685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000181 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8526s2 9744k2 |
Quadratic twists by: -4 -7 |