Atkin-Lehner |
13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
4901c |
Isogeny class |
Conductor |
4901 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
686029536361 = 138 · 292 |
Discriminant |
Eigenvalues |
-1 0 2 0 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2229,-6652] |
[a1,a2,a3,a4,a6] |
j |
253636137/142129 |
j-invariant |
L |
1.4936339986819 |
L(r)(E,1)/r! |
Ω |
0.74681699934096 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
78416r2 44109s2 122525h2 377a2 |
Quadratic twists by: -4 -3 5 13 |