Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6084i |
Isogeny class |
Conductor |
6084 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
731898702288 = 24 · 36 · 137 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -2 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6084,177957] |
[a1,a2,a3,a4,a6] |
Generators |
[51:18:1] |
Generators of the group modulo torsion |
j |
442368/13 |
j-invariant |
L |
4.6944843795575 |
L(r)(E,1)/r! |
Ω |
0.89745900222565 |
Real period |
R |
2.6154311048836 |
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 |
24336br1 97344cd1 676a1 468c1 |
Quadratic twists by: -4 8 -3 13 |