Atkin-Lehner |
2- 3- 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110bz |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-5202807390 = -1 · 2 · 312 · 5 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ -3 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,247,-3193] |
[a1,a2,a3,a4,a6] |
Generators |
[1140:4609:64] |
Generators of the group modulo torsion |
j |
2294744759/7136910 |
j-invariant |
L |
7.0477972244676 |
L(r)(E,1)/r! |
Ω |
0.69631965505941 |
Real period |
R |
5.0607484455732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000766 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29370r1 |
Quadratic twists by: -3 |