Atkin-Lehner |
2+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17600a |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
28160000000 = 215 · 57 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58700,5474000] |
[a1,a2,a3,a4,a6] |
Generators |
[1040:32700:1] |
Generators of the group modulo torsion |
j |
43688592648/55 |
j-invariant |
L |
4.5812725190137 |
L(r)(E,1)/r! |
Ω |
1.0003826042228 |
Real period |
R |
4.5795203751796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17600k3 8800u3 3520a3 |
Quadratic twists by: -4 8 5 |