Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240gs |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.2834782010409E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-592065,32400225] |
[a1,a2,a3,a4,a6] |
Generators |
[-288:13377:1] |
Generators of the group modulo torsion |
j |
87557366190249649/48960807840000 |
j-invariant |
L |
5.22236553483 |
L(r)(E,1)/r! |
Ω |
0.19413799231603 |
Real period |
R |
3.3625344622698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034547 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240eo2 28560df2 |
Quadratic twists by: -4 8 |