Atkin-Lehner |
3- 7+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
50337f |
Isogeny class |
Conductor |
50337 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7331338714358169 = 314 · 74 · 172 · 472 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-118683,15218280] |
[a1,a2,a3,a4,a6] |
j |
253608490463558833/10056706055361 |
j-invariant |
L |
0.82937369481928 |
L(r)(E,1)/r! |
Ω |
0.41468684756693 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16779j2 |
Quadratic twists by: -3 |