Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440ej |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3067464152464588800 = 215 · 310 · 52 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1754427,890461546] |
[a1,a2,a3,a4,a6] |
Generators |
[887:5670:1] |
Generators of the group modulo torsion |
j |
200005594092187129/1027287538200 |
j-invariant |
L |
5.3980755676284 |
L(r)(E,1)/r! |
Ω |
0.25427367880341 |
Real period |
R |
2.653673982789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930bi3 18480cn3 |
Quadratic twists by: -4 -3 |