Atkin-Lehner |
3+ 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
48165k |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
12896630296875 = 32 · 56 · 136 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5- 2 2 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15805,-751600] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:78:1] |
Generators of the group modulo torsion |
j |
90458382169/2671875 |
j-invariant |
L |
3.813811717255 |
L(r)(E,1)/r! |
Ω |
0.42656504327992 |
Real period |
R |
1.4901251197752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
285b2 |
Quadratic twists by: 13 |