Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
24120i |
Isogeny class |
Conductor |
24120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7502284800 = 211 · 37 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1929603,1031691998] |
[a1,a2,a3,a4,a6] |
j |
532194189377299202/5025 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
48240p4 8040i3 120600bz4 |
Quadratic twists by: -4 -3 5 |