Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280d |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-13713408000 = -1 · 217 · 33 · 53 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 1 -4 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4428,-113552] |
[a1,a2,a3,a4,a6] |
Generators |
[77:45:1] |
Generators of the group modulo torsion |
j |
-2713144086/3875 |
j-invariant |
L |
4.9149909597231 |
L(r)(E,1)/r! |
Ω |
0.29260414443098 |
Real period |
R |
4.1993518021533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989396 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89280dh1 11160b1 89280p1 |
Quadratic twists by: -4 8 -3 |