Atkin-Lehner |
2- 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4056s |
Isogeny class |
Conductor |
4056 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
219894898998528 = 28 · 34 · 139 |
Discriminant |
Eigenvalues |
2- 3- 4 2 -2 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-949836,355987152] |
[a1,a2,a3,a4,a6] |
j |
34909201168/81 |
j-invariant |
L |
3.8712223388933 |
L(r)(E,1)/r! |
Ω |
0.48390279236166 |
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 |
8112h2 32448v2 12168k2 101400o2 |
Quadratic twists by: -4 8 -3 5 |