Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296u |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4710626632138752 = 218 · 314 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -2 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56460,-3969808] |
[a1,a2,a3,a4,a6] |
Generators |
[-172:808:1] |
Generators of the group modulo torsion |
j |
104154702625/24649677 |
j-invariant |
L |
5.9148965491901 |
L(r)(E,1)/r! |
Ω |
0.31502327091375 |
Real period |
R |
4.6940156361206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998504558 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296cn2 1989a2 42432l2 |
Quadratic twists by: -4 8 -3 |