Atkin-Lehner |
2+ 7- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
16198c |
Isogeny class |
Conductor |
16198 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-2311260224 = -1 · 26 · 74 · 132 · 89 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- -2 13+ 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-163,2381] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:61:1] [-2:53:1] |
Generators of the group modulo torsion |
j |
-483551781049/2311260224 |
j-invariant |
L |
4.3568312081482 |
L(r)(E,1)/r! |
Ω |
1.2645118678183 |
Real period |
R |
0.21534155387494 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129584e1 113386l1 |
Quadratic twists by: -4 -7 |