Atkin-Lehner |
2+ 3- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610y |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2068239388410000 = 24 · 34 · 54 · 136 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1166104,484576406] |
[a1,a2,a3,a4,a6] |
Generators |
[-350:29327:1] [-51:23347:1] |
Generators of the group modulo torsion |
j |
36330796409313601/428490000 |
j-invariant |
L |
9.558549452342 |
L(r)(E,1)/r! |
Ω |
0.4221172954876 |
Real period |
R |
2.8305371380272 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000515 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
690k2 |
Quadratic twists by: 13 |