Atkin-Lehner |
2+ 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6138b |
Isogeny class |
Conductor |
6138 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
23724744912 = 24 · 33 · 116 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 11- -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8019,278309] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:657:1] [-38:745:1] |
Generators of the group modulo torsion |
j |
2112277884550443/878694256 |
j-invariant |
L |
3.3333332812316 |
L(r)(E,1)/r! |
Ω |
1.1797427472388 |
Real period |
R |
0.47091244949162 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49104z2 6138j2 67518bc2 |
Quadratic twists by: -4 -3 -11 |