Atkin-Lehner |
2+ 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
5922f |
Isogeny class |
Conductor |
5922 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
139193163396 = 22 · 38 · 74 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1296,972] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:144:1] |
Generators of the group modulo torsion |
j |
330369290497/190937124 |
j-invariant |
L |
3.151854933477 |
L(r)(E,1)/r! |
Ω |
0.87822750050783 |
Real period |
R |
1.7944410370061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47376bk2 1974h2 41454r2 |
Quadratic twists by: -4 -3 -7 |