Atkin-Lehner |
2- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18368r |
Isogeny class |
Conductor |
18368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
8628589297664 = 232 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ -2 -4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5409,-57151] |
[a1,a2,a3,a4,a6] |
j |
66775173193/32915456 |
j-invariant |
L |
1.1709013428445 |
L(r)(E,1)/r! |
Ω |
0.58545067142223 |
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 |
18368i1 4592e1 128576cz1 |
Quadratic twists by: -4 8 -7 |