Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17424bt |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-43717791744 = -1 · 212 · 36 · 114 |
Discriminant |
Eigenvalues |
2- 3- -1 2 11- 1 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,-10406] |
[a1,a2,a3,a4,a6] |
j |
-121 |
j-invariant |
L |
1.9239122930035 |
L(r)(E,1)/r! |
Ω |
0.48097807325088 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1089h1 69696fs1 1936k1 17424bu2 |
Quadratic twists by: -4 8 -3 -11 |