Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16562k |
Isogeny class |
Conductor |
16562 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1016064 |
Modular degree for the optimal curve |
Δ |
-1296450045363619328 = -1 · 29 · 79 · 137 |
Discriminant |
Eigenvalues |
2+ -1 -2 7- 5 13+ 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16760916,-26418643376] |
[a1,a2,a3,a4,a6] |
j |
-2673465150439/6656 |
j-invariant |
L |
1.1938369919184 |
L(r)(E,1)/r! |
Ω |
0.03730740599745 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16562g1 1274l1 |
Quadratic twists by: -7 13 |