Atkin-Lehner |
3- 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
84825u |
Isogeny class |
Conductor |
84825 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2.127385900415E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 -2 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6404855,-6241301728] |
[a1,a2,a3,a4,a6] |
j |
-2550962067330021409/1867663890625 |
j-invariant |
L |
0.75917715783157 |
L(r)(E,1)/r! |
Ω |
0.047448574531739 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9425e2 16965o2 |
Quadratic twists by: -3 5 |