Atkin-Lehner |
2+ 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440j |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2295184066560 = 211 · 37 · 5 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11+ -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40683,3157562] |
[a1,a2,a3,a4,a6] |
Generators |
[119:38:1] [127:198:1] |
Generators of the group modulo torsion |
j |
4987755354962/1537305 |
j-invariant |
L |
8.9543378245046 |
L(r)(E,1)/r! |
Ω |
0.80212286295552 |
Real period |
R |
5.5816497933439 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27720bm4 18480n3 |
Quadratic twists by: -4 -3 |