Atkin-Lehner |
2+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50864c |
Isogeny class |
Conductor |
50864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
147315165184 = 211 · 114 · 173 |
Discriminant |
Eigenvalues |
2+ 0 -2 2 11+ 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1411,-8670] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:102:1] |
Generators of the group modulo torsion |
j |
30876498/14641 |
j-invariant |
L |
5.1299027539204 |
L(r)(E,1)/r! |
Ω |
0.81605646374989 |
Real period |
R |
1.5715526381383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25432k2 50864p2 |
Quadratic twists by: -4 17 |