Atkin-Lehner |
2- 3- 5- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110cp |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
-2424683983011840 = -1 · 223 · 310 · 5 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21632,2672291] |
[a1,a2,a3,a4,a6] |
Generators |
[189:2209:1] |
Generators of the group modulo torsion |
j |
-1535562100788409/3326041128960 |
j-invariant |
L |
12.751389805592 |
L(r)(E,1)/r! |
Ω |
0.40743252655315 |
Real period |
R |
0.68036817897454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29370j1 |
Quadratic twists by: -3 |