Atkin-Lehner |
2- 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840dh |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
225935490745958400 = 216 · 34 · 52 · 116 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-620280,186428628] |
[a1,a2,a3,a4,a6] |
Generators |
[678:8832:1] |
Generators of the group modulo torsion |
j |
6443588518022803321/55160031920400 |
j-invariant |
L |
8.6509358333402 |
L(r)(E,1)/r! |
Ω |
0.31591356558196 |
Real period |
R |
3.4229836812795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952434 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10230j2 |
Quadratic twists by: -4 |