Atkin-Lehner |
2- 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
55470bb |
Isogeny class |
Conductor |
55470 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-133128000000 = -1 · 29 · 32 · 56 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -3 -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1780,33077] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:99:1] [17:-99:1] |
Generators of the group modulo torsion |
j |
-337335507529/72000000 |
j-invariant |
L |
12.239449701065 |
L(r)(E,1)/r! |
Ω |
0.99385138914274 |
Real period |
R |
0.11402936013452 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55470g2 |
Quadratic twists by: -43 |