Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
68208cy |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.5150930332994E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23070784,42640419380] |
[a1,a2,a3,a4,a6] |
Generators |
[-4828:203742:1] |
Generators of the group modulo torsion |
j |
2818140246756887473/314406208368 |
j-invariant |
L |
5.2819778124426 |
L(r)(E,1)/r! |
Ω |
0.17551314853174 |
Real period |
R |
3.7618106219342 |
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 |
8526s3 9744k3 |
Quadratic twists by: -4 -7 |