Atkin-Lehner |
2- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
112832bf |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1242054656 = 214 · 41 · 432 |
Discriminant |
Eigenvalues |
2- 2 2 2 0 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-817,9105] |
[a1,a2,a3,a4,a6] |
Generators |
[-321:3520:27] |
Generators of the group modulo torsion |
j |
3685542352/75809 |
j-invariant |
L |
13.453661143457 |
L(r)(E,1)/r! |
Ω |
1.5333057492364 |
Real period |
R |
4.3871423187947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112832f2 28208b2 |
Quadratic twists by: -4 8 |