Atkin-Lehner |
3+ 7- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
16863b |
Isogeny class |
Conductor |
16863 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-11686059 = -1 · 33 · 72 · 112 · 73 |
Discriminant |
Eigenvalues |
0 3+ -1 7- 11+ 6 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2091,-36115] |
[a1,a2,a3,a4,a6] |
Generators |
[67:346:1] |
Generators of the group modulo torsion |
j |
-1011564293423104/11686059 |
j-invariant |
L |
3.3342734870284 |
L(r)(E,1)/r! |
Ω |
0.35299084597015 |
Real period |
R |
2.3614447266079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50589p1 118041h1 |
Quadratic twists by: -3 -7 |