Atkin-Lehner |
2- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
53176f |
Isogeny class |
Conductor |
53176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3997906817120012288 = 211 · 178 · 234 |
Discriminant |
Eigenvalues |
2- 2 4 4 -2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-878656,-301771092] |
[a1,a2,a3,a4,a6] |
j |
1517600157122/80874049 |
j-invariant |
L |
7.822630227273 |
L(r)(E,1)/r! |
Ω |
0.15645260458783 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106352f2 3128a2 |
Quadratic twists by: -4 17 |