Atkin-Lehner |
2+ 3- 5- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110bg |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
86486400 |
Modular degree for the optimal curve |
Δ |
-8.0631109116738E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ 5 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,302997861,3813517291045] |
[a1,a2,a3,a4,a6] |
Generators |
[178601:75772262:1] |
Generators of the group modulo torsion |
j |
4220023514326527797232309071/11060508795162948000000000 |
j-invariant |
L |
4.0894751629203 |
L(r)(E,1)/r! |
Ω |
0.029061645146741 |
Real period |
R |
3.9088128627873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947181 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29370u1 |
Quadratic twists by: -3 |