Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2448a |
Isogeny class |
Conductor |
2448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
128 |
Modular degree for the optimal curve |
Δ |
-117504 = -1 · 28 · 33 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -1 2 -3 -1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12,-4] |
[a1,a2,a3,a4,a6] |
Generators |
[1:3:1] |
Generators of the group modulo torsion |
j |
27648/17 |
j-invariant |
L |
3.1215212962855 |
L(r)(E,1)/r! |
Ω |
1.9196599917612 |
Real period |
R |
0.81304015025642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1224a1 9792bc1 2448b1 61200i1 |
Quadratic twists by: -4 8 -3 5 |