Atkin-Lehner |
2- 3+ 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89040bl |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
4398025336750080 = 216 · 35 · 5 · 7 · 534 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-62760,5163120] |
[a1,a2,a3,a4,a6] |
Generators |
[-163:3322:1] |
Generators of the group modulo torsion |
j |
6674511548192041/1073736654480 |
j-invariant |
L |
4.9065566475681 |
L(r)(E,1)/r! |
Ω |
0.41737719644196 |
Real period |
R |
5.8778446567052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993764 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130r1 |
Quadratic twists by: -4 |