Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544et |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
6.7367203816235E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 6 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31780524,68957669072] |
[a1,a2,a3,a4,a6] |
Generators |
[-4694:338688:1] |
Generators of the group modulo torsion |
j |
18575453384550358633/352517816448 |
j-invariant |
L |
8.8227072859149 |
L(r)(E,1)/r! |
Ω |
0.17993326796167 |
Real period |
R |
2.0430507807418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999708 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544bp2 17136bq2 22848cd2 |
Quadratic twists by: -4 8 -3 |