Atkin-Lehner |
2- 3+ 29+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
89784g |
Isogeny class |
Conductor |
89784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1482513408 = 210 · 33 · 29 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 2 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1899,31798] |
[a1,a2,a3,a4,a6] |
Generators |
[51:260:1] |
Generators of the group modulo torsion |
j |
27392702796/53621 |
j-invariant |
L |
8.2629848205725 |
L(r)(E,1)/r! |
Ω |
1.5129124915158 |
Real period |
R |
2.7308204734983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009303 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89784a2 |
Quadratic twists by: -3 |