Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449bn |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
43973123214699 = 37 · 72 · 177 |
Discriminant |
Eigenvalues |
-1 3- -3 7- 6 -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11759,-369988] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:163:1] |
Generators of the group modulo torsion |
j |
208537/51 |
j-invariant |
L |
3.5786623209284 |
L(r)(E,1)/r! |
Ω |
0.46664932613349 |
Real period |
R |
0.9586058628641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000227636 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42483s1 127449u1 7497h1 |
Quadratic twists by: -3 -7 17 |