Atkin-Lehner |
2- 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19890u |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-314283381750 = -1 · 2 · 39 · 53 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 3 13- 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2633,59231] |
[a1,a2,a3,a4,a6] |
j |
-2768178670921/431115750 |
j-invariant |
L |
3.7329268071848 |
L(r)(E,1)/r! |
Ω |
0.93323170179621 |
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 |
6630m1 99450ba1 |
Quadratic twists by: -3 5 |