Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296cg |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.3850950964852E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,127284,234318224] |
[a1,a2,a3,a4,a6] |
Generators |
[541:21483:1] |
Generators of the group modulo torsion |
j |
1193377118543/124806800313 |
j-invariant |
L |
3.9023669522485 |
L(r)(E,1)/r! |
Ω |
0.16354243315104 |
Real period |
R |
5.9653738374442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998568146 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296h3 31824bk3 42432bl3 |
Quadratic twists by: -4 8 -3 |