Atkin-Lehner |
2- 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17160x |
Isogeny class |
Conductor |
17160 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-121968990000 = -1 · 24 · 38 · 54 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55,-16822] |
[a1,a2,a3,a4,a6] |
j |
-1171019776/7623061875 |
j-invariant |
L |
3.8058622985079 |
L(r)(E,1)/r! |
Ω |
0.47573278731349 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34320k1 51480l1 85800f1 |
Quadratic twists by: -4 -3 5 |