Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13050n |
Isogeny class |
Conductor |
13050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
10570500000000 = 28 · 36 · 59 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15792,751616] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:1008:1] |
Generators of the group modulo torsion |
j |
38238692409/928000 |
j-invariant |
L |
3.8638325868644 |
L(r)(E,1)/r! |
Ω |
0.7200859713213 |
Real period |
R |
0.67072418099164 |
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 |
104400es1 1450e1 2610n1 |
Quadratic twists by: -4 -3 5 |