Atkin-Lehner |
2+ 3- 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110y |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1774999758562588800 = -1 · 27 · 314 · 52 · 114 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9954,-64098540] |
[a1,a2,a3,a4,a6] |
Generators |
[18758:895701:8] |
Generators of the group modulo torsion |
j |
-149628263143969/2434841918467200 |
j-invariant |
L |
5.8367615375906 |
L(r)(E,1)/r! |
Ω |
0.12062754931561 |
Real period |
R |
6.0483297305137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999911489 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29370be2 |
Quadratic twists by: -3 |