Atkin-Lehner |
2- 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
48950bb |
Isogeny class |
Conductor |
48950 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
346560 |
Modular degree for the optimal curve |
Δ |
2205491200000000 = 219 · 58 · 112 · 89 |
Discriminant |
Eigenvalues |
2- -1 5- 2 11+ -1 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-240513,-45443969] |
[a1,a2,a3,a4,a6] |
Generators |
[-289:320:1] |
Generators of the group modulo torsion |
j |
3938940827116465/5646057472 |
j-invariant |
L |
8.3376935945885 |
L(r)(E,1)/r! |
Ω |
0.21560175479408 |
Real period |
R |
1.0176771962736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48950a1 |
Quadratic twists by: 5 |