Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33840bc |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12214886400 = 213 · 33 · 52 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-747,5786] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:94:1] |
Generators of the group modulo torsion |
j |
416832723/110450 |
j-invariant |
L |
5.3664123255914 |
L(r)(E,1)/r! |
Ω |
1.1846793678625 |
Real period |
R |
1.1324609154108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4230y2 33840z2 |
Quadratic twists by: -4 -3 |