Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
26208bk |
Isogeny class |
Conductor |
26208 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-1762953087168 = -1 · 26 · 39 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -6 13- -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3225,95132] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-2457:8] [7:270:1] |
Generators of the group modulo torsion |
j |
-79507000000/37786203 |
j-invariant |
L |
7.6311958935141 |
L(r)(E,1)/r! |
Ω |
0.78181369339634 |
Real period |
R |
0.61005549963275 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26208u1 52416bk2 8736c1 |
Quadratic twists by: -4 8 -3 |