Atkin-Lehner |
2- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
67280w |
Isogeny class |
Conductor |
67280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
1000492825922000 = 24 · 53 · 298 |
Discriminant |
Eigenvalues |
2- 0 5- 2 -4 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26912,756059] |
[a1,a2,a3,a4,a6] |
Generators |
[-167:770:1] |
Generators of the group modulo torsion |
j |
226492416/105125 |
j-invariant |
L |
5.9149489229625 |
L(r)(E,1)/r! |
Ω |
0.44168703766982 |
Real period |
R |
4.4639065053568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16820c1 2320h1 |
Quadratic twists by: -4 29 |