Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72800br |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2.36513641E+20 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 2 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9147633,10677783137] |
[a1,a2,a3,a4,a6] |
Generators |
[7757:637500:1] |
Generators of the group modulo torsion |
j |
-1322726283049957696/3695525640625 |
j-invariant |
L |
10.408701161096 |
L(r)(E,1)/r! |
Ω |
0.17668339045197 |
Real period |
R |
3.6819749770669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72800bj2 14560f2 |
Quadratic twists by: -4 5 |