Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
6450k |
Isogeny class |
Conductor |
6450 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
82080 |
Modular degree for the optimal curve |
Δ |
-3123577692562500 = -1 · 22 · 319 · 56 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -1 -1 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1103101,445850348] |
[a1,a2,a3,a4,a6] |
Generators |
[601:-58:1] |
Generators of the group modulo torsion |
j |
-9500554530751882177/199908972324 |
j-invariant |
L |
3.6573488040806 |
L(r)(E,1)/r! |
Ω |
0.41444629865111 |
Real period |
R |
0.23222796650197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51600bp1 19350cb1 258e1 |
Quadratic twists by: -4 -3 5 |