Atkin-Lehner |
2+ 3- 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16302i |
Isogeny class |
Conductor |
16302 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
2.5601058020116E+23 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15997361,3726597476] |
[a1,a2,a3,a4,a6] |
Generators |
[-4092:28000:1] |
Generators of the group modulo torsion |
j |
452760685725865789220847625/256010580201164720941152 |
j-invariant |
L |
3.719938818387 |
L(r)(E,1)/r! |
Ω |
0.084723093266893 |
Real period |
R |
0.78405398502754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48906bb2 |
Quadratic twists by: -3 |