Atkin-Lehner |
2- 3- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
16434k |
Isogeny class |
Conductor |
16434 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
328551127990272 = 214 · 37 · 113 · 832 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11+ 6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32621,-2085163] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:228:1] |
Generators of the group modulo torsion |
j |
5265935232125833/450687418368 |
j-invariant |
L |
7.1711521083449 |
L(r)(E,1)/r! |
Ω |
0.35718084318065 |
Real period |
R |
1.4340778918454 |
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 |
5478g1 |
Quadratic twists by: -3 |