Atkin-Lehner |
2- 3+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
84162q |
Isogeny class |
Conductor |
84162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3913728 |
Modular degree for the optimal curve |
Δ |
-2.9188240059063E+20 |
Discriminant |
Eigenvalues |
2- 3+ -3 0 -1 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3972602,3154867607] |
[a1,a2,a3,a4,a6] |
Generators |
[187:49085:1] |
Generators of the group modulo torsion |
j |
-1436444252133760297/60471089821584 |
j-invariant |
L |
6.0626335124557 |
L(r)(E,1)/r! |
Ω |
0.17157840459596 |
Real period |
R |
4.4168098587767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6474b1 |
Quadratic twists by: 13 |