Atkin-Lehner |
2- 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
19448d |
Isogeny class |
Conductor |
19448 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
732243026944 = 210 · 114 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 11- 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4291,-100050] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:78:1] |
Generators of the group modulo torsion |
j |
8532951930468/715081081 |
j-invariant |
L |
2.9828591285849 |
L(r)(E,1)/r! |
Ω |
0.5930204497721 |
Real period |
R |
2.5149715576682 |
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 |
38896b2 |
Quadratic twists by: -4 |