Atkin-Lehner |
2- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33088bk |
Isogeny class |
Conductor |
33088 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-1024933888 = -1 · 214 · 113 · 47 |
Discriminant |
Eigenvalues |
2- -2 0 1 11- -5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,47,1551] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:33:1] [1:40:1] |
Generators of the group modulo torsion |
j |
686000/62557 |
j-invariant |
L |
6.2843039732547 |
L(r)(E,1)/r! |
Ω |
1.1934718750515 |
Real period |
R |
0.87759420011229 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33088e1 8272j1 |
Quadratic twists by: -4 8 |