Atkin-Lehner |
2+ 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
60320i |
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 |
[601:14500:1] |
Generators of the group modulo torsion |
j |
44422042871296/24770078125 |
j-invariant |
L |
9.0464559583982 |
L(r)(E,1)/r! |
Ω |
0.49155698734335 |
Real period |
R |
0.43818278261854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60320x1 120640k1 |
Quadratic twists by: -4 8 |