Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440eq |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3983377305600 = 212 · 38 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8067,261826] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:616:1] |
Generators of the group modulo torsion |
j |
19443408769/1334025 |
j-invariant |
L |
6.3828002609969 |
L(r)(E,1)/r! |
Ω |
0.76766346667359 |
Real period |
R |
1.0393226553683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000153 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3465p2 18480cw2 |
Quadratic twists by: -4 -3 |