Atkin-Lehner |
2- 3- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
43824x |
Isogeny class |
Conductor |
43824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
19386335232 = 218 · 34 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24608,1477620] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:1536:1] |
Generators of the group modulo torsion |
j |
402355893390625/4732992 |
j-invariant |
L |
7.9307901434342 |
L(r)(E,1)/r! |
Ω |
1.1076673009538 |
Real period |
R |
1.7899756850753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999918 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5478m1 |
Quadratic twists by: -4 |