Atkin-Lehner |
2+ 3+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992f |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-11081825835854592 = -1 · 28 · 3 · 72 · 138 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 4 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1266188,548843088] |
[a1,a2,a3,a4,a6] |
Generators |
[724:3332:1] |
Generators of the group modulo torsion |
j |
-876957748355360194000/43288382171307 |
j-invariant |
L |
6.0026507847133 |
L(r)(E,1)/r! |
Ω |
0.38108883678172 |
Real period |
R |
3.9378290584029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005773 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496y2 |
Quadratic twists by: -4 |