Atkin-Lehner |
3- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
48675n |
Isogeny class |
Conductor |
48675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
91265625 = 32 · 56 · 11 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 11+ 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-363,2592] |
[a1,a2,a3,a4,a6] |
Generators |
[17:29:1] |
Generators of the group modulo torsion |
j |
338608873/5841 |
j-invariant |
L |
4.227502324835 |
L(r)(E,1)/r! |
Ω |
1.9089415477203 |
Real period |
R |
1.1072896207562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999833 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1947a1 |
Quadratic twists by: 5 |