Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440bc |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
8962598937600 = 210 · 310 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16707,-818606] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:112:1] |
Generators of the group modulo torsion |
j |
690862540036/12006225 |
j-invariant |
L |
6.8843412534312 |
L(r)(E,1)/r! |
Ω |
0.42037109694255 |
Real period |
R |
2.0471023411049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999417 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27720br2 18480u2 |
Quadratic twists by: -4 -3 |