Atkin-Lehner |
2- 3+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
33984be |
Isogeny class |
Conductor |
33984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
104398848 = 216 · 33 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-204,-1008] |
[a1,a2,a3,a4,a6] |
Generators |
[21:63:1] |
Generators of the group modulo torsion |
j |
530604/59 |
j-invariant |
L |
7.1768138725561 |
L(r)(E,1)/r! |
Ω |
1.2723838100136 |
Real period |
R |
2.8202236683912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33984b1 8496a1 33984bb1 |
Quadratic twists by: -4 8 -3 |