Atkin-Lehner |
5+ 29- 73- |
Signs for the Atkin-Lehner involutions |
Class |
52925d |
Isogeny class |
Conductor |
52925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
33078125 = 56 · 29 · 73 |
Discriminant |
Eigenvalues |
2 2 5+ 2 -3 4 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-208,1193] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:317:8] |
Generators of the group modulo torsion |
j |
64000000/2117 |
j-invariant |
L |
18.598662204203 |
L(r)(E,1)/r! |
Ω |
2.0624762468721 |
Real period |
R |
4.5088185215285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999915 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2117a1 |
Quadratic twists by: 5 |