Atkin-Lehner |
2- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81466bm |
Isogeny class |
Conductor |
81466 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
36495360 |
Modular degree for the optimal curve |
Δ |
-3.7721178900623E+26 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11- -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-174968701,-1290975613515] |
[a1,a2,a3,a4,a6] |
Generators |
[1504662:650116569:8] |
Generators of the group modulo torsion |
j |
-4001637980024799157233/2548110404539996912 |
j-invariant |
L |
7.1673703777171 |
L(r)(E,1)/r! |
Ω |
0.020175375859291 |
Real period |
R |
8.8813343892019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000487 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3542k1 |
Quadratic twists by: -23 |