Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
6138p |
Isogeny class |
Conductor |
6138 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
53265662208 = 28 · 39 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11- 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1544,-20149] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:49:1] |
Generators of the group modulo torsion |
j |
558051585337/73066752 |
j-invariant |
L |
6.2653076965314 |
L(r)(E,1)/r! |
Ω |
0.76823787583664 |
Real period |
R |
1.0194283394496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49104be1 2046e1 67518w1 |
Quadratic twists by: -4 -3 -11 |