Atkin-Lehner |
2- 23- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
94162p |
Isogeny class |
Conductor |
94162 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
3245760 |
Modular degree for the optimal curve |
Δ |
-2.0326033470613E+19 |
Discriminant |
Eigenvalues |
2- -1 -2 -2 -4 2 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6782849,6799966335] |
[a1,a2,a3,a4,a6] |
Generators |
[-309:-94008:1] |
Generators of the group modulo torsion |
j |
-440694341960017/259555328 |
j-invariant |
L |
3.2905692311251 |
L(r)(E,1)/r! |
Ω |
0.21358062718152 |
Real period |
R |
0.17118537862542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999949322 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94162t1 |
Quadratic twists by: -23 |