Atkin-Lehner |
2- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
8096d |
Isogeny class |
Conductor |
8096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1576064512 = -1 · 29 · 11 · 234 |
Discriminant |
Eigenvalues |
2- 0 2 0 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59,1918] |
[a1,a2,a3,a4,a6] |
Generators |
[7070:52962:125] |
Generators of the group modulo torsion |
j |
-44361864/3078251 |
j-invariant |
L |
4.5803056372184 |
L(r)(E,1)/r! |
Ω |
1.2409820712753 |
Real period |
R |
7.3817434485763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8096g4 16192bb4 72864n2 89056g2 |
Quadratic twists by: -4 8 -3 -11 |