Atkin-Lehner |
2- 3- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
16434o |
Isogeny class |
Conductor |
16434 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
25088 |
Modular degree for the optimal curve |
Δ |
98143322112 = 214 · 38 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1157,-1155] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:32:1] [-25:120:1] |
Generators of the group modulo torsion |
j |
234770924809/134627328 |
j-invariant |
L |
7.9319960494187 |
L(r)(E,1)/r! |
Ω |
0.88844706807648 |
Real period |
R |
0.6377095121871 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5478b1 |
Quadratic twists by: -3 |