Atkin-Lehner |
2- 3+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
43824o |
Isogeny class |
Conductor |
43824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-7483939474176 = -1 · 28 · 37 · 115 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 11+ -2 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-197,-131559] |
[a1,a2,a3,a4,a6] |
j |
-3319595008/29234138571 |
j-invariant |
L |
0.67571861755977 |
L(r)(E,1)/r! |
Ω |
0.33785930868804 |
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 |
10956g1 |
Quadratic twists by: -4 |