Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160cc |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3951062894592000 = 214 · 32 · 53 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11- 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2902225,1903991377] |
[a1,a2,a3,a4,a6] |
Generators |
[939:2420:1] |
Generators of the group modulo torsion |
j |
93141032522704/136125 |
j-invariant |
L |
5.2229673007231 |
L(r)(E,1)/r! |
Ω |
0.37451494059058 |
Real period |
R |
1.1621626532897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999542071 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160jc2 14520r2 10560h2 |
Quadratic twists by: -4 8 -11 |