Atkin-Lehner |
2+ 3- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
99216n |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82560 |
Modular degree for the optimal curve |
Δ |
-54519588864 = -1 · 211 · 36 · 13 · 532 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 -4 13- -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,11234] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:106:1] |
Generators of the group modulo torsion |
j |
-2/36517 |
j-invariant |
L |
3.1771505761788 |
L(r)(E,1)/r! |
Ω |
0.8894115666269 |
Real period |
R |
0.89304847452159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015696 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49608f1 11024d1 |
Quadratic twists by: -4 -3 |