Atkin-Lehner |
2- 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72072bg |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
65312967985993728 = 211 · 310 · 74 · 113 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86377899,-308995438138] |
[a1,a2,a3,a4,a6] |
j |
47739090470641005400274/43746361659 |
j-invariant |
L |
3.5655899151256 |
L(r)(E,1)/r! |
Ω |
0.04952208207715 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24024g4 |
Quadratic twists by: -3 |