Atkin-Lehner |
3- 7+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
48321k |
Isogeny class |
Conductor |
48321 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-125017105941 = -1 · 39 · 72 · 133 · 59 |
Discriminant |
Eigenvalues |
-1 3- 1 7+ -1 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-977,20918] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:64:1] [-12:-170:1] |
Generators of the group modulo torsion |
j |
-141339344329/171491229 |
j-invariant |
L |
6.4984014540907 |
L(r)(E,1)/r! |
Ω |
0.94491434545829 |
Real period |
R |
0.28655161026519 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16107e1 |
Quadratic twists by: -3 |