Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4056f |
Isogeny class |
Conductor |
4056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-423501286960128 = -1 · 210 · 3 · 1310 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1296,-989520] |
[a1,a2,a3,a4,a6] |
j |
48668/85683 |
j-invariant |
L |
1.972166420519 |
L(r)(E,1)/r! |
Ω |
0.24652080256488 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8112b4 32448c3 12168n4 101400ca3 |
Quadratic twists by: -4 8 -3 5 |