Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280bf |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-44075990384640 = -1 · 222 · 37 · 5 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23628,1433968] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:1440:1] [8:1116:1] |
Generators of the group modulo torsion |
j |
-7633736209/230640 |
j-invariant |
L |
9.7568691047403 |
L(r)(E,1)/r! |
Ω |
0.63803568264718 |
Real period |
R |
1.9115053770126 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998896 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280et1 2790i1 29760bg1 |
Quadratic twists by: -4 8 -3 |