Atkin-Lehner |
2- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
82880y |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
2274227200 = 210 · 52 · 74 · 37 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 4 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1168,15192] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:147:1] |
Generators of the group modulo torsion |
j |
172088672256/2220925 |
j-invariant |
L |
5.9568373941355 |
L(r)(E,1)/r! |
Ω |
1.4631185688785 |
Real period |
R |
2.0356646144623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82880k1 20720m1 |
Quadratic twists by: -4 8 |