Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
20640u |
Isogeny class |
Conductor |
20640 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
10449000000 = 26 · 35 · 56 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3566,-83016] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:12:1] |
Generators of the group modulo torsion |
j |
78380771974336/163265625 |
j-invariant |
L |
5.798819772585 |
L(r)(E,1)/r! |
Ω |
0.61787186625664 |
Real period |
R |
1.8770298792586 |
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 |
20640p1 41280co1 61920r1 103200j1 |
Quadratic twists by: -4 8 -3 5 |