Atkin-Lehner |
2- 3+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992by |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-479361792 = -1 · 28 · 3 · 7 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 3 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21,-1047] |
[a1,a2,a3,a4,a6] |
j |
-4194304/1872507 |
j-invariant |
L |
4.4717287430492 |
L(r)(E,1)/r! |
Ω |
0.74528812201192 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20748j1 |
Quadratic twists by: -4 |