Atkin-Lehner |
2- 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360co |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-11018280960000 = -1 · 216 · 38 · 54 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,799,-159201] |
[a1,a2,a3,a4,a6] |
j |
859687196/168125625 |
j-invariant |
L |
2.7112337841955 |
L(r)(E,1)/r! |
Ω |
0.33890422302986 |
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 |
39360g3 9840d4 118080fb3 |
Quadratic twists by: -4 8 -3 |