Atkin-Lehner |
2+ 7- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50512c |
Isogeny class |
Conductor |
50512 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
89691653357979904 = 28 · 76 · 116 · 412 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-609271,-182479530] |
[a1,a2,a3,a4,a6] |
j |
97704657842231308752/350358020929609 |
j-invariant |
L |
0.51275727995166 |
L(r)(E,1)/r! |
Ω |
0.17091909343128 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25256a2 |
Quadratic twists by: -4 |