Atkin-Lehner |
2+ 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478s |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4.2286776778055E+21 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 11+ -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3647070,4121019828] |
[a1,a2,a3,a4,a6] |
Generators |
[101997:18931284:343] |
Generators of the group modulo torsion |
j |
-156425280396841/123297834528 |
j-invariant |
L |
6.219987050573 |
L(r)(E,1)/r! |
Ω |
0.12710684839743 |
Real period |
R |
6.1168882021792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992693 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23826bn2 3762o2 |
Quadratic twists by: -3 -19 |