Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280bi |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
89672832000 = 210 · 36 · 53 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1128,2248] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:36:1] [-7:99:1] |
Generators of the group modulo torsion |
j |
212629504/120125 |
j-invariant |
L |
9.4382683231129 |
L(r)(E,1)/r! |
Ω |
0.92495991263658 |
Real period |
R |
5.1019877695948 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998287 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280ew1 11160h1 9920k1 |
Quadratic twists by: -4 8 -3 |