Atkin-Lehner |
2- 5+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
47150q |
Isogeny class |
Conductor |
47150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
1388096000000 = 212 · 56 · 232 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 -4 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12288,520192] |
[a1,a2,a3,a4,a6] |
Generators |
[2064:-5632:27] [-82:1030:1] |
Generators of the group modulo torsion |
j |
13132563308857/88838144 |
j-invariant |
L |
8.546880852856 |
L(r)(E,1)/r! |
Ω |
0.85906694969113 |
Real period |
R |
0.41454281958322 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1886a1 |
Quadratic twists by: 5 |