Atkin-Lehner |
3+ 11- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52173b |
Isogeny class |
Conductor |
52173 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
90282750751916613 = 39 · 116 · 174 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 0 -4 11- -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-220835,-37180754] |
[a1,a2,a3,a4,a6] |
Generators |
[-278:1772:1] |
Generators of the group modulo torsion |
j |
60510994784044875/4586838934711 |
j-invariant |
L |
2.3443753369156 |
L(r)(E,1)/r! |
Ω |
0.22128919378021 |
Real period |
R |
0.8828474995509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52173a2 |
Quadratic twists by: -3 |