Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
8892n |
Isogeny class |
Conductor |
8892 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-486890352 = -1 · 24 · 36 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17265,873169] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:1287:1] |
Generators of the group modulo torsion |
j |
-48795070432000/41743 |
j-invariant |
L |
4.759983132157 |
L(r)(E,1)/r! |
Ω |
1.3840292986101 |
Real period |
R |
1.7196106819911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
35568by2 988d2 115596l2 |
Quadratic twists by: -4 -3 13 |