Atkin-Lehner |
2- 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650dg |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
8640 |
Product of Tamagawa factors cp |
Δ |
2.2243965091236E+31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8732706338,217185189524292] |
[a1,a2,a3,a4,a6] |
Generators |
[-3638:15778594:1] |
Generators of the group modulo torsion |
j |
4713573181326053552512698494809/1423613765839135305946129920 |
j-invariant |
L |
11.90793957579 |
L(r)(E,1)/r! |
Ω |
0.019886554803293 |
Real period |
R |
0.27721920882185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130d3 |
Quadratic twists by: 5 |