Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160dk |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-2716726392000 = -1 · 26 · 314 · 53 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -6 -1 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2995,100343] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:405:1] |
Generators of the group modulo torsion |
j |
-46438610512384/42448849875 |
j-invariant |
L |
7.868782321315 |
L(r)(E,1)/r! |
Ω |
0.73796974602006 |
Real period |
R |
0.25387485198527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995123 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68160ch1 34080w1 |
Quadratic twists by: -4 8 |