Atkin-Lehner |
2+ 3- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82992m |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-159106516116912 = -1 · 24 · 39 · 72 · 134 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 0 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-931,-607288] |
[a1,a2,a3,a4,a6] |
j |
-5583662639104/9944157257307 |
j-invariant |
L |
4.6877357966183 |
L(r)(E,1)/r! |
Ω |
0.26042976820762 |
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 |
41496j1 |
Quadratic twists by: -4 |