Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
48050v |
Isogeny class |
Conductor |
48050 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
-727043015475200 = -1 · 215 · 52 · 316 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 3 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,21122,537412] |
[a1,a2,a3,a4,a6] |
Generators |
[18:952:1] |
Generators of the group modulo torsion |
j |
46969655/32768 |
j-invariant |
L |
10.024496169189 |
L(r)(E,1)/r! |
Ω |
0.32080045667251 |
Real period |
R |
1.0416128323906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48050l4 50b2 |
Quadratic twists by: 5 -31 |