Atkin-Lehner |
2- 3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48048bi |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-60615819264 = -1 · 218 · 3 · 72 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,168,11760] |
[a1,a2,a3,a4,a6] |
Generators |
[2:110:1] |
Generators of the group modulo torsion |
j |
127263527/14798784 |
j-invariant |
L |
5.7959055520457 |
L(r)(E,1)/r! |
Ω |
0.85193704314809 |
Real period |
R |
1.7008021891565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006n1 |
Quadratic twists by: -4 |