Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17424cj |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-17281949100945408 = -1 · 212 · 39 · 118 |
Discriminant |
Eigenvalues |
2- 3- -4 -1 11- -2 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,63888,-1171280] |
[a1,a2,a3,a4,a6] |
j |
45056/27 |
j-invariant |
L |
0.45389752577275 |
L(r)(E,1)/r! |
Ω |
0.22694876288637 |
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 |
1089i1 69696ha1 5808bi1 17424ci1 |
Quadratic twists by: -4 8 -3 -11 |