Atkin-Lehner |
2+ 3+ 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
96720m |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
8090930540160000 = 210 · 34 · 54 · 132 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-300040,63210112] |
[a1,a2,a3,a4,a6] |
j |
2917176278129886244/7901299355625 |
j-invariant |
L |
1.6647329580535 |
L(r)(E,1)/r! |
Ω |
0.41618325150038 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
48360ba4 |
Quadratic twists by: -4 |