Atkin-Lehner |
2+ 3- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992r |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1433600 |
Modular degree for the optimal curve |
Δ |
-2079858057182064432 = -1 · 24 · 37 · 78 · 134 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,127913,-67072432] |
[a1,a2,a3,a4,a6] |
j |
14465864356839237632/129991128573879027 |
j-invariant |
L |
3.6196575431155 |
L(r)(E,1)/r! |
Ω |
0.12927348338444 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496v1 |
Quadratic twists by: -4 |