Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20064h |
Isogeny class |
Conductor |
20064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
87759936 = 26 · 38 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11- -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-457082,118790880] |
[a1,a2,a3,a4,a6] |
Generators |
[358:1080:1] |
Generators of the group modulo torsion |
j |
165016376059269518272/1371249 |
j-invariant |
L |
6.9044957589799 |
L(r)(E,1)/r! |
Ω |
0.94744081383405 |
Real period |
R |
1.8218804959012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20064p1 40128g1 60192p1 |
Quadratic twists by: -4 8 -3 |