Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280f |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-8776581120 = -1 · 221 · 33 · 5 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 5 0 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108,4528] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-64:1] |
Generators of the group modulo torsion |
j |
-19683/1240 |
j-invariant |
L |
5.7433322378478 |
L(r)(E,1)/r! |
Ω |
1.0768384552388 |
Real period |
R |
0.66668916464235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999937746 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89280di1 2790s1 89280r1 |
Quadratic twists by: -4 8 -3 |