Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400di |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
122472000000 = 29 · 37 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50475,-4364750] |
[a1,a2,a3,a4,a6] |
Generators |
[270:1300:1] |
Generators of the group modulo torsion |
j |
2438569736/21 |
j-invariant |
L |
5.5820544076394 |
L(r)(E,1)/r! |
Ω |
0.31851559226763 |
Real period |
R |
4.3813038852043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000274 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400dv4 100800ma4 16800q3 2016g2 |
Quadratic twists by: -4 8 -3 5 |