Atkin-Lehner |
3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16731a |
Isogeny class |
Conductor |
16731 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-3055991935725390519 = -1 · 39 · 114 · 139 |
Discriminant |
Eigenvalues |
-1 3+ 2 2 11+ 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,24811,84087748] |
[a1,a2,a3,a4,a6] |
Generators |
[-970394:42012058:4913] |
Generators of the group modulo torsion |
j |
17779581/32166277 |
j-invariant |
L |
3.898091103255 |
L(r)(E,1)/r! |
Ω |
0.19830287687657 |
Real period |
R |
9.828629732087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16731c1 1287b1 |
Quadratic twists by: -3 13 |