Atkin-Lehner |
2- 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160cz |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-40896000000 = -1 · 212 · 32 · 56 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 6 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,519,8775] |
[a1,a2,a3,a4,a6] |
j |
3767287616/9984375 |
j-invariant |
L |
3.2125007324653 |
L(r)(E,1)/r! |
Ω |
0.80312518149848 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160bx1 34080bb1 |
Quadratic twists by: -4 8 |