Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200bu |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-1.23388671875E+19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -3 5 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,56867,168941863] |
[a1,a2,a3,a4,a6] |
Generators |
[-513:2242:1] |
Generators of the group modulo torsion |
j |
5084368707584/3084716796875 |
j-invariant |
L |
6.5532927343849 |
L(r)(E,1)/r! |
Ω |
0.17548962598638 |
Real period |
R |
4.6678633405948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13300k1 10640bc1 |
Quadratic twists by: -4 5 |