Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440cq |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2261385603302031360 = 224 · 310 · 5 · 73 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6875643,-6938961622] |
[a1,a2,a3,a4,a6] |
Generators |
[-4935223244:-725263227:3241792] |
Generators of the group modulo torsion |
j |
12038605770121350841/757333463040 |
j-invariant |
L |
5.0197359837826 |
L(r)(E,1)/r! |
Ω |
0.093233688110618 |
Real period |
R |
13.460091747717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6930ba3 18480cc3 |
Quadratic twists by: -4 -3 |