Atkin-Lehner |
2- 3- 5+ 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
32430z |
Isogeny class |
Conductor |
32430 |
Conductor |
∏ cp |
1872 |
Product of Tamagawa factors cp |
deg |
6200064 |
Modular degree for the optimal curve |
Δ |
-6.4014380580339E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-94293146,-354530221980] |
[a1,a2,a3,a4,a6] |
Generators |
[14164:1066006:1] |
Generators of the group modulo torsion |
j |
-92718007433538661830942253729/640143805803385627607040 |
j-invariant |
L |
9.820676394789 |
L(r)(E,1)/r! |
Ω |
0.024214215393054 |
Real period |
R |
0.86661289371931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97290r1 |
Quadratic twists by: -3 |