Atkin-Lehner |
2- 3+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
129456x |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
140427654912 = 28 · 39 · 29 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4455,-113022] |
[a1,a2,a3,a4,a6] |
Generators |
[-216508474:153969733:6028568] |
Generators of the group modulo torsion |
j |
1940598000/27869 |
j-invariant |
L |
8.0401073929342 |
L(r)(E,1)/r! |
Ω |
0.58487800805953 |
Real period |
R |
13.746639964455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999991309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32364e2 129456r2 |
Quadratic twists by: -4 -3 |