Atkin-Lehner |
2- 3- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
59826t |
Isogeny class |
Conductor |
59826 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-8246362235904 = -1 · 210 · 34 · 134 · 592 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 -6 13+ -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-25776,1596672] |
[a1,a2,a3,a4,a6] |
Generators |
[-168:1176:1] [-954:14283:8] |
Generators of the group modulo torsion |
j |
-66312885380209/288728064 |
j-invariant |
L |
15.014288846689 |
L(r)(E,1)/r! |
Ω |
0.74026383129979 |
Real period |
R |
0.084509784506683 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59826i1 |
Quadratic twists by: 13 |