Atkin-Lehner |
2- 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
39072m |
Isogeny class |
Conductor |
39072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-8673984 = -1 · 26 · 32 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22,140] |
[a1,a2,a3,a4,a6] |
Generators |
[20:90:1] |
Generators of the group modulo torsion |
j |
-19248832/135531 |
j-invariant |
L |
8.9820533866458 |
L(r)(E,1)/r! |
Ω |
1.9943502632946 |
Real period |
R |
2.251874595942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39072b1 78144t2 117216q1 |
Quadratic twists by: -4 8 -3 |