Atkin-Lehner |
2- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
82880z |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-785039360 = -1 · 214 · 5 · 7 · 372 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -5 -3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,219,445] |
[a1,a2,a3,a4,a6] |
Generators |
[4:37:1] |
Generators of the group modulo torsion |
j |
70575104/47915 |
j-invariant |
L |
2.1610247873182 |
L(r)(E,1)/r! |
Ω |
1.003595140735 |
Real period |
R |
1.0766417158223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999993959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82880l1 20720d1 |
Quadratic twists by: -4 8 |