Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960o |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11156006400000 = 212 · 3 · 55 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ -4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49281,4191375] |
[a1,a2,a3,a4,a6] |
j |
3231551729387584/2723634375 |
j-invariant |
L |
2.8531249275703 |
L(r)(E,1)/r! |
Ω |
0.71328123189672 |
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 |
36960bg2 73920bj1 110880dp2 |
Quadratic twists by: -4 8 -3 |