Atkin-Lehner |
2+ 3+ 5+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89010a |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
227328 |
Modular degree for the optimal curve |
Δ |
1119323002500 = 22 · 39 · 54 · 232 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -6 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13245,587825] |
[a1,a2,a3,a4,a6] |
Generators |
[20:565:1] |
Generators of the group modulo torsion |
j |
13055898088323/56867500 |
j-invariant |
L |
3.1929048604706 |
L(r)(E,1)/r! |
Ω |
0.87430200206088 |
Real period |
R |
0.91298683181907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002543 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89010bh1 |
Quadratic twists by: -3 |