Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280bs |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-28436122828800000 = -1 · 227 · 37 · 55 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 3 2 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-117228,17449648] |
[a1,a2,a3,a4,a6] |
Generators |
[102:2560:1] |
Generators of the group modulo torsion |
j |
-932288503609/148800000 |
j-invariant |
L |
5.9705098988961 |
L(r)(E,1)/r! |
Ω |
0.36029890866657 |
Real period |
R |
2.0713738485525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89280eh1 2790bc1 29760bk1 |
Quadratic twists by: -4 8 -3 |