Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
26208l |
Isogeny class |
Conductor |
26208 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-10431675072 = -1 · 26 · 39 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,51,-4912] |
[a1,a2,a3,a4,a6] |
Generators |
[19:54:1] |
Generators of the group modulo torsion |
j |
314432/223587 |
j-invariant |
L |
5.6489765376555 |
L(r)(E,1)/r! |
Ω |
0.59967357547971 |
Real period |
R |
1.177510725968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26208v1 52416es2 8736p1 |
Quadratic twists by: -4 8 -3 |