Atkin-Lehner |
2+ 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
11280c |
Isogeny class |
Conductor |
11280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-1973548800 = -1 · 28 · 38 · 52 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,284,-1184] |
[a1,a2,a3,a4,a6] |
j |
9860720816/7709175 |
j-invariant |
L |
1.6429307755183 |
L(r)(E,1)/r! |
Ω |
0.82146538775915 |
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 |
5640g1 45120cz1 33840l1 56400n1 |
Quadratic twists by: -4 8 -3 5 |