Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
55272bo |
Isogeny class |
Conductor |
55272 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
520096735807488 = 211 · 38 · 77 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-689152,-220428832] |
[a1,a2,a3,a4,a6] |
Generators |
[23260785:-1916504072:3375] |
Generators of the group modulo torsion |
j |
150228113126114/2158569 |
j-invariant |
L |
8.2025178914995 |
L(r)(E,1)/r! |
Ω |
0.16569947078549 |
Real period |
R |
12.375594581839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110544j4 7896i4 |
Quadratic twists by: -4 -7 |