Atkin-Lehner |
3+ 7+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16779c |
Isogeny class |
Conductor |
16779 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-1164961221543 = -1 · 36 · 76 · 172 · 47 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 6 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2804,-78388] |
[a1,a2,a3,a4,a6] |
j |
-2438189295425857/1164961221543 |
j-invariant |
L |
0.64142019734944 |
L(r)(E,1)/r! |
Ω |
0.32071009867472 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50337i1 117453u1 |
Quadratic twists by: -3 -7 |