Atkin-Lehner |
2+ 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440bi |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
373597223076000000 = 28 · 38 · 56 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5659527,5182166054] |
[a1,a2,a3,a4,a6] |
j |
107422839278466723664/2001871265625 |
j-invariant |
L |
3.3272248636097 |
L(r)(E,1)/r! |
Ω |
0.27726873855142 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27720v2 18480c2 |
Quadratic twists by: -4 -3 |