Atkin-Lehner |
2+ 3- 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
82128f |
Isogeny class |
Conductor |
82128 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
37760 |
Modular degree for the optimal curve |
Δ |
-392489712 = -1 · 24 · 35 · 29 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 -5 -5 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1248,16587] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:177:1] [21:9:1] |
Generators of the group modulo torsion |
j |
-13446071968000/24530607 |
j-invariant |
L |
12.681601784032 |
L(r)(E,1)/r! |
Ω |
1.6891860586769 |
Real period |
R |
0.75075221696291 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41064a1 |
Quadratic twists by: -4 |