Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440j |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
995844326400 = 210 · 38 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2883,35282] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:198:1] [-31:308:1] |
Generators of the group modulo torsion |
j |
3550014724/1334025 |
j-invariant |
L |
8.9543378245046 |
L(r)(E,1)/r! |
Ω |
0.80212286295552 |
Real period |
R |
1.395412448336 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27720bm2 18480n2 |
Quadratic twists by: -4 -3 |