Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
10080i |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
2041583745600 = 26 · 312 · 52 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8013,267388] |
[a1,a2,a3,a4,a6] |
j |
1219555693504/43758225 |
j-invariant |
L |
1.6432291314522 |
L(r)(E,1)/r! |
Ω |
0.82161456572612 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10080bp1 20160bw2 3360v1 50400dn1 |
Quadratic twists by: -4 8 -3 5 |