Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576dt |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-4786556239872 = -1 · 218 · 38 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1983,100287] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:297:1] |
Generators of the group modulo torsion |
j |
3288008303/18259263 |
j-invariant |
L |
9.2315328165939 |
L(r)(E,1)/r! |
Ω |
0.5562722505792 |
Real period |
R |
1.0372093888124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48576c1 12144w1 |
Quadratic twists by: -4 8 |