Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4056f |
Isogeny class |
Conductor |
4056 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1879443581184 = 28 · 32 · 138 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8844,-316224] |
[a1,a2,a3,a4,a6] |
j |
61918288/1521 |
j-invariant |
L |
1.972166420519 |
L(r)(E,1)/r! |
Ω |
0.49304160512976 |
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 |
8112b2 32448c2 12168n2 101400ca2 |
Quadratic twists by: -4 8 -3 5 |