Atkin-Lehner |
3+ 7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
16863d |
Isogeny class |
Conductor |
16863 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-1298451 = -1 · 3 · 72 · 112 · 73 |
Discriminant |
Eigenvalues |
2 3+ 1 7- 11- 4 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,0,-55] |
[a1,a2,a3,a4,a6] |
j |
-4096/1298451 |
j-invariant |
L |
4.9724119868367 |
L(r)(E,1)/r! |
Ω |
1.2431029967092 |
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 |
50589n1 118041k1 |
Quadratic twists by: -3 -7 |