Atkin-Lehner |
2+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83248p |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-811723921344512 = -1 · 211 · 118 · 432 |
Discriminant |
Eigenvalues |
2+ 0 0 0 11- 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13915,1509354] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:1452:1] |
Generators of the group modulo torsion |
j |
-82127250/223729 |
j-invariant |
L |
5.9733203827986 |
L(r)(E,1)/r! |
Ω |
0.4432525336087 |
Real period |
R |
1.6845138852262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004343 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41624l2 7568e2 |
Quadratic twists by: -4 -11 |