Atkin-Lehner |
2+ 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928be |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-50916999168 = -1 · 214 · 37 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ -4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,708,8080] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:72:1] [-3:77:1] |
Generators of the group modulo torsion |
j |
3286064/4263 |
j-invariant |
L |
8.0744912535625 |
L(r)(E,1)/r! |
Ω |
0.75694043583511 |
Real period |
R |
1.3334092862659 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928ej1 14616n1 38976t1 |
Quadratic twists by: -4 8 -3 |