Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17424l |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
745189632 = 28 · 37 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11+ 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1551,-23474] |
[a1,a2,a3,a4,a6] |
j |
1661168/3 |
j-invariant |
L |
1.5216813359188 |
L(r)(E,1)/r! |
Ω |
0.7608406679594 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8712t2 69696fe2 5808i2 17424k2 |
Quadratic twists by: -4 8 -3 -11 |