Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72912bk |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.4926691001726E+22 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-98311264,-375081865472] |
[a1,a2,a3,a4,a6] |
Generators |
[-156336:36064:27] |
Generators of the group modulo torsion |
j |
218064699967398378193/51726898829088 |
j-invariant |
L |
4.0845405264029 |
L(r)(E,1)/r! |
Ω |
0.047946279899683 |
Real period |
R |
5.3243710145542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979082 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9114ba3 10416bo3 |
Quadratic twists by: -4 -7 |