Atkin-Lehner |
2- 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
24360bb |
Isogeny class |
Conductor |
24360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7984919577600 = 210 · 32 · 52 · 72 · 294 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-235480,-44060800] |
[a1,a2,a3,a4,a6] |
j |
1410222635298096484/7797773025 |
j-invariant |
L |
3.4676161818229 |
L(r)(E,1)/r! |
Ω |
0.21672601136393 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48720i4 73080i4 121800i4 |
Quadratic twists by: -4 -3 5 |