Atkin-Lehner |
2- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63296x |
Isogeny class |
Conductor |
63296 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-18573233682907136 = -1 · 226 · 235 · 43 |
Discriminant |
Eigenvalues |
2- -1 -2 -2 -5 3 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,991,6556609] |
[a1,a2,a3,a4,a6] |
Generators |
[-181:644:1] [-3:2560:1] |
Generators of the group modulo torsion |
j |
410172407/70851263744 |
j-invariant |
L |
6.6625266319736 |
L(r)(E,1)/r! |
Ω |
0.30658295620692 |
Real period |
R |
1.0865781181047 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63296c1 15824i1 |
Quadratic twists by: -4 8 |