Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280dn |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
17141760 = 212 · 33 · 5 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-612,-5824] |
[a1,a2,a3,a4,a6] |
Generators |
[86:760:1] |
Generators of the group modulo torsion |
j |
229220928/155 |
j-invariant |
L |
6.850394591794 |
L(r)(E,1)/r! |
Ω |
0.95990737188377 |
Real period |
R |
3.568258140868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004944 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280dr1 44640y1 89280db1 |
Quadratic twists by: -4 8 -3 |