Atkin-Lehner |
2+ 3- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
105264i |
Isogeny class |
Conductor |
105264 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
6220800 |
Modular degree for the optimal curve |
Δ |
6.7001237687604E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6167739,-4387483078] |
[a1,a2,a3,a4,a6] |
Generators |
[-28473:829556:27] |
Generators of the group modulo torsion |
j |
34759553520755733988/8975431574663993 |
j-invariant |
L |
6.6698869246678 |
L(r)(E,1)/r! |
Ω |
0.097630141697747 |
Real period |
R |
5.6931588896518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002311 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52632b1 11696h1 |
Quadratic twists by: -4 -3 |