Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
52038bp |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
300960 |
Modular degree for the optimal curve |
Δ |
-2653002734764032 = -1 · 219 · 36 · 76 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -1 -3 -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,24466,-1998979] |
[a1,a2,a3,a4,a6] |
Generators |
[153:-2381:1] |
Generators of the group modulo torsion |
j |
18884848247/30932992 |
j-invariant |
L |
10.922589573338 |
L(r)(E,1)/r! |
Ω |
0.23982315194717 |
Real period |
R |
1.198535526639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5782a1 1062i1 |
Quadratic twists by: -3 -7 |