Atkin-Lehner |
2- 5+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
47150j |
Isogeny class |
Conductor |
47150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2416437500 = 22 · 56 · 23 · 412 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12288,-525308] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:34:1] |
Generators of the group modulo torsion |
j |
13132563308857/154652 |
j-invariant |
L |
6.2855604437691 |
L(r)(E,1)/r! |
Ω |
0.45344996925963 |
Real period |
R |
1.7327050584076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1886d2 |
Quadratic twists by: 5 |