Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20384p |
Isogeny class |
Conductor |
20384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-18264064 = -1 · 212 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 2 -1 7- 6 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19,197] |
[a1,a2,a3,a4,a6] |
Generators |
[19:84:1] |
Generators of the group modulo torsion |
j |
512/13 |
j-invariant |
L |
7.3772030604013 |
L(r)(E,1)/r! |
Ω |
1.6365037558005 |
Real period |
R |
1.1269761884526 |
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 |
20384r1 40768cy1 20384k1 |
Quadratic twists by: -4 8 -7 |