Atkin-Lehner |
2+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20240a |
Isogeny class |
Conductor |
20240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
29988984608000 = 28 · 53 · 116 · 232 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 11+ 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-352223,-80458578] |
[a1,a2,a3,a4,a6] |
Generators |
[-5806032719:-125600884:16974593] |
Generators of the group modulo torsion |
j |
18877169793994660944/117144471125 |
j-invariant |
L |
4.8734934912759 |
L(r)(E,1)/r! |
Ω |
0.19597257018158 |
Real period |
R |
12.43412148639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10120b2 80960ca2 101200c2 |
Quadratic twists by: -4 8 5 |