Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680dm |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
7037487522000 = 24 · 36 · 53 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-62868,-6065917] |
[a1,a2,a3,a4,a6] |
Generators |
[32185059367701968:104471310740475575:109379943092224] |
Generators of the group modulo torsion |
j |
488095744/125 |
j-invariant |
L |
7.5588434081775 |
L(r)(E,1)/r! |
Ω |
0.3015079847566 |
Real period |
R |
25.070126929617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999471303 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30420j3 13520bb3 720i3 |
Quadratic twists by: -4 -3 13 |