Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440em |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-26555848704000000 = -1 · 217 · 37 · 56 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,44853,-6935686] |
[a1,a2,a3,a4,a6] |
Generators |
[293:-5600:1] |
Generators of the group modulo torsion |
j |
3342032927351/8893500000 |
j-invariant |
L |
6.7594751399071 |
L(r)(E,1)/r! |
Ω |
0.19343610651995 |
Real period |
R |
0.72800472094578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930bf2 18480bz2 |
Quadratic twists by: -4 -3 |