Atkin-Lehner |
2- 3+ 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
82128l |
Isogeny class |
Conductor |
82128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
475200 |
Modular degree for the optimal curve |
Δ |
-277600515993072 = -1 · 24 · 35 · 295 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 4 3 -3 -5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,14114,-480197] |
[a1,a2,a3,a4,a6] |
j |
19432259342802176/17350032249567 |
j-invariant |
L |
2.4146049055165 |
L(r)(E,1)/r! |
Ω |
0.30182562321514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20532g1 |
Quadratic twists by: -4 |