Atkin-Lehner |
2- 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
20976m |
Isogeny class |
Conductor |
20976 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-54849034531584 = -1 · 28 · 310 · 193 · 232 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 3 4 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-517861,143267183] |
[a1,a2,a3,a4,a6] |
Generators |
[971:23598:1] |
Generators of the group modulo torsion |
j |
-59996263288753291264/214254041139 |
j-invariant |
L |
5.4499271554278 |
L(r)(E,1)/r! |
Ω |
0.55092756087601 |
Real period |
R |
0.082435628299936 |
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 |
5244a1 83904z1 62928bf1 |
Quadratic twists by: -4 8 -3 |