Atkin-Lehner |
3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19941l |
Isogeny class |
Conductor |
19941 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-28313368437 = -1 · 3 · 177 · 23 |
Discriminant |
Eigenvalues |
-1 3- 4 2 -5 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5786,169113] |
[a1,a2,a3,a4,a6] |
Generators |
[177:2079:1] |
Generators of the group modulo torsion |
j |
-887503681/1173 |
j-invariant |
L |
5.3917260757653 |
L(r)(E,1)/r! |
Ω |
1.1793195599319 |
Real period |
R |
2.2859478715323 |
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 |
59823g1 1173a1 |
Quadratic twists by: -3 17 |