Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440g |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
110649369600 = 210 · 36 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9243,341658] |
[a1,a2,a3,a4,a6] |
Generators |
[69:180:1] [-71:800:1] |
Generators of the group modulo torsion |
j |
116986321764/148225 |
j-invariant |
L |
9.1629416395976 |
L(r)(E,1)/r! |
Ω |
1.0522813288122 |
Real period |
R |
1.0884614917974 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27720j2 6160d2 |
Quadratic twists by: -4 -3 |