Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48240j |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
937785600 = 28 · 37 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-543,-4642] |
[a1,a2,a3,a4,a6] |
j |
94875856/5025 |
j-invariant |
L |
1.9845336220484 |
L(r)(E,1)/r! |
Ω |
0.99226681109292 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24120u1 16080d1 |
Quadratic twists by: -4 -3 |