Atkin-Lehner |
3- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81627v |
Isogeny class |
Conductor |
81627 |
Conductor |
∏ cp |
198 |
Product of Tamagawa factors cp |
deg |
3377088 |
Modular degree for the optimal curve |
Δ |
-3.9101795177901E+20 |
Discriminant |
Eigenvalues |
-1 3- -1 7- 2 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5697416,-5320609971] |
[a1,a2,a3,a4,a6] |
Generators |
[2887:46468:1] |
Generators of the group modulo torsion |
j |
-25073253469151329/479346850269 |
j-invariant |
L |
5.0385152412742 |
L(r)(E,1)/r! |
Ω |
0.048804271043956 |
Real period |
R |
0.52141023962528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005241 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81627p1 |
Quadratic twists by: 13 |