Atkin-Lehner |
3- 7- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
59409h |
Isogeny class |
Conductor |
59409 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
876288 |
Modular degree for the optimal curve |
Δ |
-2695402846236681 = -1 · 38 · 77 · 233 · 41 |
Discriminant |
Eigenvalues |
1 3- -3 7- 2 -7 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1065141,423389106] |
[a1,a2,a3,a4,a6] |
Generators |
[630:1134:1] |
Generators of the group modulo torsion |
j |
-183323322423860317777/3697397594289 |
j-invariant |
L |
5.082116196514 |
L(r)(E,1)/r! |
Ω |
0.41909279549925 |
Real period |
R |
0.28872547532181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19803e1 |
Quadratic twists by: -3 |