Atkin-Lehner |
2+ 3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992bc |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-337392086234112 = -1 · 210 · 34 · 74 · 13 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16568,-322012] |
[a1,a2,a3,a4,a6] |
Generators |
[119:1830:1] |
Generators of the group modulo torsion |
j |
491142820607708/329484459213 |
j-invariant |
L |
11.073666541448 |
L(r)(E,1)/r! |
Ω |
0.30718472442654 |
Real period |
R |
4.5061105177531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000358 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41496c3 |
Quadratic twists by: -4 |