Atkin-Lehner |
2- 3+ 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50232r |
Isogeny class |
Conductor |
50232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
42747593636127744 = 210 · 34 · 78 · 132 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1914424,-1018856036] |
[a1,a2,a3,a4,a6] |
Generators |
[1798:36720:1] [4381:273240:1] |
Generators of the group modulo torsion |
j |
757771683956845949668/41745696910281 |
j-invariant |
L |
6.9723734343627 |
L(r)(E,1)/r! |
Ω |
0.12834868953805 |
Real period |
R |
27.16184115108 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
100464s4 |
Quadratic twists by: -4 |