Atkin-Lehner |
2- 3+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
68160cq |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-204480 = -1 · 26 · 32 · 5 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 -2 1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5,-23] |
[a1,a2,a3,a4,a6] |
Generators |
[26:33:8] |
Generators of the group modulo torsion |
j |
175616/3195 |
j-invariant |
L |
7.5740698153268 |
L(r)(E,1)/r! |
Ω |
1.5436456747606 |
Real period |
R |
2.4533058131953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000685 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68160dr1 34080s1 |
Quadratic twists by: -4 8 |