Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840k |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
33069465600 = 219 · 3 · 52 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 2 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2241,40641] |
[a1,a2,a3,a4,a6] |
j |
4750104241/126150 |
j-invariant |
L |
2.3263866709707 |
L(r)(E,1)/r! |
Ω |
1.1631933354851 |
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 |
27840dr2 870h2 83520by2 |
Quadratic twists by: -4 8 -3 |