Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
27720bc |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1885637698560 = 210 · 314 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74163,-7773442] |
[a1,a2,a3,a4,a6] |
Generators |
[-157:16:1] |
Generators of the group modulo torsion |
j |
60430765429444/2525985 |
j-invariant |
L |
5.2191675677002 |
L(r)(E,1)/r! |
Ω |
0.28930358912548 |
Real period |
R |
2.2550565236146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440z4 9240h4 |
Quadratic twists by: -4 -3 |