Atkin-Lehner |
2- 3- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
7968g |
Isogeny class |
Conductor |
7968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1968191488512 = -1 · 29 · 34 · 834 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1432,70172] |
[a1,a2,a3,a4,a6] |
Generators |
[47:330:1] |
Generators of the group modulo torsion |
j |
-634725648584/3844124001 |
j-invariant |
L |
5.0158240506722 |
L(r)(E,1)/r! |
Ω |
0.71629147661909 |
Real period |
R |
3.501245103702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7968b4 15936f4 23904k2 |
Quadratic twists by: -4 8 -3 |