Atkin-Lehner |
2- 3- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
54180u |
Isogeny class |
Conductor |
54180 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7166375596800 = 28 · 312 · 52 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52167,-4584274] |
[a1,a2,a3,a4,a6] |
Generators |
[-8572:655:64] |
Generators of the group modulo torsion |
j |
84128627757904/38400075 |
j-invariant |
L |
7.1866558762949 |
L(r)(E,1)/r! |
Ω |
0.3159093547299 |
Real period |
R |
5.687276879154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18060b2 |
Quadratic twists by: -3 |