Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16562bq |
Isogeny class |
Conductor |
16562 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-3178907086678428196 = -1 · 22 · 78 · 1310 |
Discriminant |
Eigenvalues |
2- 2 -3 7- 6 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5627112,-5140851955] |
[a1,a2,a3,a4,a6] |
Generators |
[245783664836766229315007320020:51204183653628079543999418564669:5619173228948315431048256] |
Generators of the group modulo torsion |
j |
-1214950633/196 |
j-invariant |
L |
9.1676345593562 |
L(r)(E,1)/r! |
Ω |
0.049011045337462 |
Real period |
R |
46.763104603427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2366k1 16562p1 |
Quadratic twists by: -7 13 |