Atkin-Lehner |
2- 3- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129744w |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4866048 |
Modular degree for the optimal curve |
Δ |
-5.32819703073E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 3 -5 4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1104765,-1016671102] |
[a1,a2,a3,a4,a6] |
Generators |
[21938:1203579:8] |
Generators of the group modulo torsion |
j |
49939703164181375/178440240494592 |
j-invariant |
L |
7.9941082938493 |
L(r)(E,1)/r! |
Ω |
0.083755413471351 |
Real period |
R |
5.9653668551144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16218d1 43248r1 |
Quadratic twists by: -4 -3 |