Atkin-Lehner |
2- 3- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
48336bl |
Isogeny class |
Conductor |
48336 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.0101847000082E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15804072,-24182956620] |
[a1,a2,a3,a4,a6] |
Generators |
[-20469150359656002:-13861067932563840:8845341481241] |
Generators of the group modulo torsion |
j |
106578791226657105222313/24662712402544896 |
j-invariant |
L |
9.112113750371 |
L(r)(E,1)/r! |
Ω |
0.075720475620067 |
Real period |
R |
20.056472342862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6042c2 |
Quadratic twists by: -4 |