Atkin-Lehner |
2- 3- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
19776be |
Isogeny class |
Conductor |
19776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-20736638976 = -1 · 226 · 3 · 103 |
Discriminant |
Eigenvalues |
2- 3- -3 2 -2 -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-94977,11234559] |
[a1,a2,a3,a4,a6] |
Generators |
[4773:512:27] |
Generators of the group modulo torsion |
j |
-361446235206337/79104 |
j-invariant |
L |
5.0579477216162 |
L(r)(E,1)/r! |
Ω |
0.96272123027943 |
Real period |
R |
1.3134507587799 |
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 |
19776j1 4944e1 59328bi1 |
Quadratic twists by: -4 8 -3 |