Atkin-Lehner |
2- 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560ec |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
-156246278400000000 = -1 · 214 · 38 · 58 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,89135,-15994225] |
[a1,a2,a3,a4,a6] |
Generators |
[395:-9000:1] |
Generators of the group modulo torsion |
j |
4780174017488816/9536516015625 |
j-invariant |
L |
7.6003802506045 |
L(r)(E,1)/r! |
Ω |
0.16904748528027 |
Real period |
R |
0.35125024550668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000146 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560t2 14640s2 |
Quadratic twists by: -4 8 |