Atkin-Lehner |
2- 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
20064q |
Isogeny class |
Conductor |
20064 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1099025142336 = 26 · 32 · 114 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 11+ -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43682,3528240] |
[a1,a2,a3,a4,a6] |
Generators |
[272:3420:1] |
Generators of the group modulo torsion |
j |
144032740431412672/17172267849 |
j-invariant |
L |
3.8330710640269 |
L(r)(E,1)/r! |
Ω |
0.83790288006616 |
Real period |
R |
2.2873003275298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20064i1 40128ba2 60192j1 |
Quadratic twists by: -4 8 -3 |