Atkin-Lehner |
2- 3- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82992ck |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
14532231168 = 214 · 33 · 7 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 0 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-616,-1228] |
[a1,a2,a3,a4,a6] |
j |
6321363049/3547908 |
j-invariant |
L |
6.1821548084234 |
L(r)(E,1)/r! |
Ω |
1.0303591338141 |
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 |
10374c1 |
Quadratic twists by: -4 |