Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
55104dj |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
32014005409677312 = 219 · 32 · 74 · 414 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-115969,-12566785] |
[a1,a2,a3,a4,a6] |
Generators |
[-193:1632:1] |
Generators of the group modulo torsion |
j |
657980877056833/122123738898 |
j-invariant |
L |
5.9372126802374 |
L(r)(E,1)/r! |
Ω |
0.26202708914547 |
Real period |
R |
2.8323467907562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999964 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55104g3 13776j4 |
Quadratic twists by: -4 8 |