Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190cm |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7335896805022500 = 22 · 34 · 54 · 118 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-200076,-34215444] |
[a1,a2,a3,a4,a6] |
Generators |
[7878:211311:8] |
Generators of the group modulo torsion |
j |
499980107400409/4140922500 |
j-invariant |
L |
10.981571704776 |
L(r)(E,1)/r! |
Ω |
0.22584877999915 |
Real period |
R |
6.0779449997514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4290k2 |
Quadratic twists by: -11 |