Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
10350bu |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
6706800000000 = 210 · 36 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -5 7 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5180,72447] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:465:1] |
Generators of the group modulo torsion |
j |
53969305/23552 |
j-invariant |
L |
6.8833714507678 |
L(r)(E,1)/r! |
Ω |
0.67493184088162 |
Real period |
R |
0.16997695258079 |
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 |
82800ff1 1150c1 10350h1 |
Quadratic twists by: -4 -3 5 |