Atkin-Lehner |
2- 3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
94800cm |
Isogeny class |
Conductor |
94800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-8532000000 = -1 · 28 · 33 · 56 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 -5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,292,-3912] |
[a1,a2,a3,a4,a6] |
Generators |
[43:300:1] |
Generators of the group modulo torsion |
j |
686000/2133 |
j-invariant |
L |
6.6638537726818 |
L(r)(E,1)/r! |
Ω |
0.66820818971929 |
Real period |
R |
1.6621201468964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23700d1 3792c1 |
Quadratic twists by: -4 5 |