Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20064h |
Isogeny class |
Conductor |
20064 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-962725795840512 = -1 · 29 · 316 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11- -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-457072,118796348] |
[a1,a2,a3,a4,a6] |
Generators |
[407:594:1] |
Generators of the group modulo torsion |
j |
-20625693207826202504/1880323820001 |
j-invariant |
L |
6.9044957589799 |
L(r)(E,1)/r! |
Ω |
0.47372040691702 |
Real period |
R |
0.91094024795059 |
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 |
20064p2 40128g2 60192p2 |
Quadratic twists by: -4 8 -3 |