Atkin-Lehner |
2+ 3- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992n |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
908264448 = 210 · 33 · 7 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-768,7812] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:114:1] |
Generators of the group modulo torsion |
j |
48986090500/886977 |
j-invariant |
L |
8.0663352013257 |
L(r)(E,1)/r! |
Ω |
1.5756476023256 |
Real period |
R |
0.85322961697511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496g1 |
Quadratic twists by: -4 |