Atkin-Lehner |
2- 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
59220p |
Isogeny class |
Conductor |
59220 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
1.1314134514292E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6644928,4156634977] |
[a1,a2,a3,a4,a6] |
Generators |
[-2164:91665:1] |
Generators of the group modulo torsion |
j |
2781935393440641581056/970004673721860525 |
j-invariant |
L |
5.7812863588368 |
L(r)(E,1)/r! |
Ω |
0.11716496063371 |
Real period |
R |
4.1119278377047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
19740w3 |
Quadratic twists by: -3 |