Atkin-Lehner |
3- 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17181c |
Isogeny class |
Conductor |
17181 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
9130687821 = 314 · 23 · 83 |
Discriminant |
Eigenvalues |
2 3- 3 -4 0 -6 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-561,-2241] |
[a1,a2,a3,a4,a6] |
j |
26784575488/12524949 |
j-invariant |
L |
4.1056402170447 |
L(r)(E,1)/r! |
Ω |
1.0264100542612 |
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 |
5727i1 |
Quadratic twists by: -3 |