Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33840cq |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2226163046400000000 = 217 · 39 · 58 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-575427,-151901246] |
[a1,a2,a3,a4,a6] |
Generators |
[-447:4000:1] |
Generators of the group modulo torsion |
j |
7056785934088129/745537500000 |
j-invariant |
L |
5.7059878274136 |
L(r)(E,1)/r! |
Ω |
0.17452598587407 |
Real period |
R |
1.021693810888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4230k2 11280r2 |
Quadratic twists by: -4 -3 |