Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10350bp |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-3772575000000 = -1 · 26 · 38 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,895,-93103] |
[a1,a2,a3,a4,a6] |
j |
6967871/331200 |
j-invariant |
L |
4.5199616841005 |
L(r)(E,1)/r! |
Ω |
0.37666347367504 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82800de1 3450h1 2070h1 |
Quadratic twists by: -4 -3 5 |