Atkin-Lehner |
2- 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144cu |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-8642101248 = -1 · 218 · 34 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,351,3807] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:39:1] |
Generators of the group modulo torsion |
j |
18191447/32967 |
j-invariant |
L |
8.4930470927868 |
L(r)(E,1)/r! |
Ω |
0.89635244050225 |
Real period |
R |
2.3687800437146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144r1 19536y1 |
Quadratic twists by: -4 8 |