Atkin-Lehner |
3- 11+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52173c |
Isogeny class |
Conductor |
52173 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1855598142238137 = 37 · 11 · 174 · 314 |
Discriminant |
Eigenvalues |
1 3- -2 -4 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-53658,-4298481] |
[a1,a2,a3,a4,a6] |
j |
23437116561827233/2545402115553 |
j-invariant |
L |
0.63178319890087 |
L(r)(E,1)/r! |
Ω |
0.31589160020246 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17391l3 |
Quadratic twists by: -3 |