Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17424v |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2356629422856192 = 211 · 310 · 117 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-514371,-141972446] |
[a1,a2,a3,a4,a6] |
Generators |
[-3294:895:8] |
Generators of the group modulo torsion |
j |
5690357426/891 |
j-invariant |
L |
4.2634951996835 |
L(r)(E,1)/r! |
Ω |
0.17827256631202 |
Real period |
R |
5.9788997374691 |
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 |
8712k3 69696gh4 5808n3 1584g3 |
Quadratic twists by: -4 8 -3 -11 |