Atkin-Lehner |
2+ 3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
59160i |
Isogeny class |
Conductor |
59160 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-20195328229632000 = -1 · 211 · 38 · 53 · 17 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,67960,-476112] |
[a1,a2,a3,a4,a6] |
j |
16949132701040878/9861000112125 |
j-invariant |
L |
5.4568333013135 |
L(r)(E,1)/r! |
Ω |
0.227368054401 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118320k3 |
Quadratic twists by: -4 |