Atkin-Lehner |
2+ 3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
39072f |
Isogeny class |
Conductor |
39072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-185044992 = -1 · 212 · 3 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11- -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,127,399] |
[a1,a2,a3,a4,a6] |
Generators |
[33:204:1] |
Generators of the group modulo torsion |
j |
54872000/45177 |
j-invariant |
L |
6.9676576248634 |
L(r)(E,1)/r! |
Ω |
1.1617186828617 |
Real period |
R |
2.9988575236211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39072h2 78144i1 117216z2 |
Quadratic twists by: -4 8 -3 |