Atkin-Lehner |
2- 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
47376z |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6.6239949751184E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1269075,386611346] |
[a1,a2,a3,a4,a6] |
Generators |
[5375:385814:1] |
Generators of the group modulo torsion |
j |
75700387468140625/22183625147082 |
j-invariant |
L |
5.7863593945604 |
L(r)(E,1)/r! |
Ω |
0.18191835128687 |
Real period |
R |
7.9518632309431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5922i4 15792n4 |
Quadratic twists by: -4 -3 |