Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280ex |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
35545153536000 = 222 · 37 · 53 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140268,20218192] |
[a1,a2,a3,a4,a6] |
j |
1597099875769/186000 |
j-invariant |
L |
1.2537153816075 |
L(r)(E,1)/r! |
Ω |
0.62685762160057 |
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 |
89280bh1 22320cg1 29760cx1 |
Quadratic twists by: -4 8 -3 |