Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
50400dx |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1680315840000000 = 212 · 37 · 57 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32700,1136000] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:700:1] [-155:1575:1] |
Generators of the group modulo torsion |
j |
82881856/36015 |
j-invariant |
L |
9.4780384511652 |
L(r)(E,1)/r! |
Ω |
0.42613491125126 |
Real period |
R |
1.3901170440567 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50400dg3 100800nt1 16800j2 10080m3 |
Quadratic twists by: -4 8 -3 5 |