Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21420f |
Isogeny class |
Conductor |
21420 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
9954677250000 = 24 · 39 · 56 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19332,1023381] |
[a1,a2,a3,a4,a6] |
Generators |
[67:170:1] |
Generators of the group modulo torsion |
j |
2537130442752/31609375 |
j-invariant |
L |
6.1654038901307 |
L(r)(E,1)/r! |
Ω |
0.72766428328523 |
Real period |
R |
1.4121447742118 |
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 |
85680df1 21420b1 107100n1 |
Quadratic twists by: -4 -3 5 |