Atkin-Lehner |
2- 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
60320x |
Isogeny class |
Conductor |
60320 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
101458240000000 = 212 · 57 · 13 · 293 |
Discriminant |
Eigenvalues |
2- -1 5- -1 -4 13+ 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11805,98197] |
[a1,a2,a3,a4,a6] |
Generators |
[-108:319:1] [-21:-580:1] |
Generators of the group modulo torsion |
j |
44422042871296/24770078125 |
j-invariant |
L |
8.3829025716363 |
L(r)(E,1)/r! |
Ω |
0.51723504501601 |
Real period |
R |
0.38588436784356 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999876 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60320i1 120640j1 |
Quadratic twists by: -4 8 |