Atkin-Lehner |
2- 13- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67184x |
Isogeny class |
Conductor |
67184 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
67970859008 = 216 · 132 · 17 · 192 |
Discriminant |
Eigenvalues |
2- -2 0 -4 4 13- 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1768,-26316] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:38:1] |
Generators of the group modulo torsion |
j |
149298747625/16594448 |
j-invariant |
L |
3.5928264901631 |
L(r)(E,1)/r! |
Ω |
0.74153777785862 |
Real period |
R |
1.2112756079225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985254 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8398e1 |
Quadratic twists by: -4 |