Atkin-Lehner |
2+ 3- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
16434b |
Isogeny class |
Conductor |
16434 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
3450351168 = 26 · 310 · 11 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13842,630292] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:446:1] [44:302:1] |
Generators of the group modulo torsion |
j |
402355893390625/4732992 |
j-invariant |
L |
5.0920420459931 |
L(r)(E,1)/r! |
Ω |
1.2790240287564 |
Real period |
R |
1.9905967094862 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5478m1 |
Quadratic twists by: -3 |