Atkin-Lehner |
2- 3- 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730cd |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
27487278637056000 = 216 · 39 · 53 · 74 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-82562,-4423039] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:2239:1] |
Generators of the group modulo torsion |
j |
85375226113731289/37705457664000 |
j-invariant |
L |
9.6645886131079 |
L(r)(E,1)/r! |
Ω |
0.29336578118734 |
Real period |
R |
0.34316476054447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910n1 |
Quadratic twists by: -3 |