Atkin-Lehner |
2+ 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830bc |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-3167055936000 = -1 · 29 · 37 · 53 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-105884874,419398056180] |
[a1,a2,a3,a4,a6] |
j |
-180093466903641160790448289/4344384000 |
j-invariant |
L |
0.57322404557822 |
L(r)(E,1)/r! |
Ω |
0.28661202278911 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
5610bf2 84150fw2 |
Quadratic twists by: -3 5 |