Atkin-Lehner |
2+ 3- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610y |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.8994767994252E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1196524,457952822] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:23041:1] [820:4913:1] |
Generators of the group modulo torsion |
j |
39248884582600321/3935264062500 |
j-invariant |
L |
9.558549452342 |
L(r)(E,1)/r! |
Ω |
0.2110586477438 |
Real period |
R |
11.322148552109 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000515 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
690k3 |
Quadratic twists by: 13 |