Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
24120i |
Isogeny class |
Conductor |
24120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
18849490560000 = 210 · 38 · 54 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-120603,16119398] |
[a1,a2,a3,a4,a6] |
j |
259878624962404/25250625 |
j-invariant |
L |
1.3167375095869 |
L(r)(E,1)/r! |
Ω |
0.65836875479345 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48240p2 8040i2 120600bz2 |
Quadratic twists by: -4 -3 5 |