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 |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-139723056 = -1 · 24 · 38 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11+ 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66,-605] |
[a1,a2,a3,a4,a6] |
j |
-2048/9 |
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 |
8712t1 69696fe1 5808i1 17424k1 |
Quadratic twists by: -4 8 -3 -11 |