Atkin-Lehner |
7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
4067a |
Isogeny class |
Conductor |
4067 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-3296238269387 = -1 · 78 · 833 |
Discriminant |
Eigenvalues |
0 1 0 7+ 0 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2287,77305] |
[a1,a2,a3,a4,a6] |
Generators |
[65:710:1] |
Generators of the group modulo torsion |
j |
229376000/571787 |
j-invariant |
L |
3.4710839740625 |
L(r)(E,1)/r! |
Ω |
0.55545842370021 |
Real period |
R |
2.0830145731639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65072m2 36603c2 101675d2 4067b2 |
Quadratic twists by: -4 -3 5 -7 |