Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
80688w |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
11619072 = 28 · 33 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 2 3 1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68,120] |
[a1,a2,a3,a4,a6] |
Generators |
[7:6:1] |
Generators of the group modulo torsion |
j |
82000/27 |
j-invariant |
L |
9.2484262783807 |
L(r)(E,1)/r! |
Ω |
2.0873863972799 |
Real period |
R |
1.476874988539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999931911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20172a1 80688q1 |
Quadratic twists by: -4 41 |