Atkin-Lehner |
2+ 5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
39950b |
Isogeny class |
Conductor |
39950 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8736 |
Modular degree for the optimal curve |
Δ |
2556800 = 27 · 52 · 17 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 5 -3 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-227,-1259] |
[a1,a2,a3,a4,a6] |
j |
51872478705/102272 |
j-invariant |
L |
1.2298577613252 |
L(r)(E,1)/r! |
Ω |
1.229857761303 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39950u1 |
Quadratic twists by: 5 |