Atkin-Lehner |
2+ 3+ 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
6486c |
Isogeny class |
Conductor |
6486 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
155664 = 24 · 32 · 23 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 4 2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26,-60] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:3:1] |
Generators of the group modulo torsion |
j |
2062933417/155664 |
j-invariant |
L |
2.5081142292717 |
L(r)(E,1)/r! |
Ω |
2.1138312147555 |
Real period |
R |
1.1865253061663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51888bb1 19458j1 |
Quadratic twists by: -4 -3 |