Atkin-Lehner |
7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
17689c |
Isogeny class |
Conductor |
17689 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
196560 |
Modular degree for the optimal curve |
Δ |
-5152992694858939 = -1 · 78 · 197 |
Discriminant |
Eigenvalues |
-2 -2 3 7+ 4 6 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-41274,-4740816] |
[a1,a2,a3,a4,a6] |
j |
-28672/19 |
j-invariant |
L |
0.97591179700901 |
L(r)(E,1)/r! |
Ω |
0.16265196616817 |
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 |
17689i1 931a1 |
Quadratic twists by: -7 -19 |