Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320ck |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-16004874240 = -1 · 216 · 36 · 5 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 6 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,159,-5985] |
[a1,a2,a3,a4,a6] |
Generators |
[21:84:1] |
Generators of the group modulo torsion |
j |
6740636/244215 |
j-invariant |
L |
6.9475008126781 |
L(r)(E,1)/r! |
Ω |
0.59625640898958 |
Real period |
R |
1.9419779556886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992849 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320g1 16080f1 |
Quadratic twists by: -4 8 |