Atkin-Lehner |
3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
16473d |
Isogeny class |
Conductor |
16473 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-2520369 = -1 · 33 · 173 · 19 |
Discriminant |
Eigenvalues |
1 3+ -1 1 0 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-48,-171] |
[a1,a2,a3,a4,a6] |
j |
-2571353/513 |
j-invariant |
L |
1.7896713307277 |
L(r)(E,1)/r! |
Ω |
0.89483566536386 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49419g1 16473f1 |
Quadratic twists by: -3 17 |