Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440ej |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
312296780759040000 = 218 · 38 · 54 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-170427,-3231254] |
[a1,a2,a3,a4,a6] |
Generators |
[-313:4410:1] |
Generators of the group modulo torsion |
j |
183337554283129/104587560000 |
j-invariant |
L |
5.3980755676284 |
L(r)(E,1)/r! |
Ω |
0.25427367880341 |
Real period |
R |
1.3268369913945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6930bi2 18480cn2 |
Quadratic twists by: -4 -3 |