Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576ds |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
298450944 = 217 · 32 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 11- 5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,927] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:48:1] |
Generators of the group modulo torsion |
j |
9653618/2277 |
j-invariant |
L |
7.4819164504481 |
L(r)(E,1)/r! |
Ω |
1.6240654544669 |
Real period |
R |
0.5758632164316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48576b1 12144a1 |
Quadratic twists by: -4 8 |