Atkin-Lehner |
3- 7- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16779m |
Isogeny class |
Conductor |
16779 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-2641635423 = -1 · 34 · 74 · 172 · 47 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 0 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,136,-2385] |
[a1,a2,a3,a4,a6] |
j |
278061485183/2641635423 |
j-invariant |
L |
1.4232347012935 |
L(r)(E,1)/r! |
Ω |
0.71161735064673 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50337o1 117453f1 |
Quadratic twists by: -3 -7 |