Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400k |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
2214451250000 = 24 · 57 · 116 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6050,166375] |
[a1,a2,a3,a4,a6] |
j |
55296/5 |
j-invariant |
L |
3.2025301928673 |
L(r)(E,1)/r! |
Ω |
0.80063254833608 |
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 |
24200h1 9680h1 400a1 |
Quadratic twists by: -4 5 -11 |