Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
10080p |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
53792511091200 = 29 · 36 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9603,81702] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:630:1] |
Generators of the group modulo torsion |
j |
262389836808/144120025 |
j-invariant |
L |
4.2587549950937 |
L(r)(E,1)/r! |
Ω |
0.54772900447227 |
Real period |
R |
0.48595598374384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10080j3 20160fa3 1120o3 50400cv3 |
Quadratic twists by: -4 8 -3 5 |