Atkin-Lehner |
2+ 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
103200j |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
163265625000000 = 26 · 35 · 512 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -6 -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-89158,-10198688] |
[a1,a2,a3,a4,a6] |
Generators |
[-168:100:1] [5582:416400:1] |
Generators of the group modulo torsion |
j |
78380771974336/163265625 |
j-invariant |
L |
8.5845936738514 |
L(r)(E,1)/r! |
Ω |
0.2763206988669 |
Real period |
R |
15.533750656684 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103200t1 20640u1 |
Quadratic twists by: -4 5 |