Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296cd |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-32435525910528 = -1 · 226 · 37 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4884,240464] |
[a1,a2,a3,a4,a6] |
Generators |
[146:4635:8] |
Generators of the group modulo torsion |
j |
67419143/169728 |
j-invariant |
L |
4.5602432336352 |
L(r)(E,1)/r! |
Ω |
0.45931269059173 |
Real period |
R |
4.9642035134441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997562089 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296g1 31824bj1 42432bk1 |
Quadratic twists by: -4 8 -3 |