Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17424be |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12245029632 = 28 · 33 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11- -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1815,29282] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:242:1] |
Generators of the group modulo torsion |
j |
54000 |
j-invariant |
L |
4.1185536484573 |
L(r)(E,1)/r! |
Ω |
1.2683214357587 |
Real period |
R |
1.6236237645837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4356c2 69696ei2 17424be4 144a2 |
Quadratic twists by: -4 8 -3 -11 |