Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400cv |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-893025000000000000 = -1 · 212 · 36 · 514 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-128700,48816000] |
[a1,a2,a3,a4,a6] |
Generators |
[-390:6300:1] |
Generators of the group modulo torsion |
j |
-5053029696/19140625 |
j-invariant |
L |
6.5783971148581 |
L(r)(E,1)/r! |
Ω |
0.24495185744966 |
Real period |
R |
1.6784923533922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400dl2 100800la1 5600a4 10080p4 |
Quadratic twists by: -4 8 -3 5 |