Atkin-Lehner |
2- 3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
60720bs |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-368537532141588480 = -1 · 212 · 312 · 5 · 112 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-76920,-30314448] |
[a1,a2,a3,a4,a6] |
j |
-12288170734201081/89974983433005 |
j-invariant |
L |
2.0302685517684 |
L(r)(E,1)/r! |
Ω |
0.12689178464837 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3795j4 |
Quadratic twists by: -4 |