Atkin-Lehner |
2+ 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928bh |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4618134349626212352 = 223 · 318 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -4 4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2789580,1790330992] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:44928:1] |
Generators of the group modulo torsion |
j |
12562403073144625/24165685152 |
j-invariant |
L |
6.4073299259213 |
L(r)(E,1)/r! |
Ω |
0.2447012495422 |
Real period |
R |
3.2730369917605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999882451 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928eo2 3654e2 38976m2 |
Quadratic twists by: -4 8 -3 |