Atkin-Lehner |
3- 7+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
72891c |
Isogeny class |
Conductor |
72891 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
17712513 = 37 · 7 · 13 · 89 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1166256,-484482141] |
[a1,a2,a3,a4,a6] |
Generators |
[-123188587269317300235596:61595199710850215119403:197655255625409178688] |
Generators of the group modulo torsion |
j |
240645678171920775937/24297 |
j-invariant |
L |
8.9688171485034 |
L(r)(E,1)/r! |
Ω |
0.1452784054478 |
Real period |
R |
30.867688561413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000001698 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24297b4 |
Quadratic twists by: -3 |