Atkin-Lehner |
2- 3- 5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
106050bu |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
34797656250000 = 24 · 32 · 511 · 72 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-163688,25474992] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:5644:1] |
Generators of the group modulo torsion |
j |
31042334831450041/2227050000 |
j-invariant |
L |
11.75995802725 |
L(r)(E,1)/r! |
Ω |
0.62142210659828 |
Real period |
R |
1.1827667005485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027674 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210l1 |
Quadratic twists by: 5 |