Atkin-Lehner |
3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8379f |
Isogeny class |
Conductor |
8379 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1629556299 = -1 · 36 · 76 · 19 |
Discriminant |
Eigenvalues |
0 3- 3 7- -3 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-339276,-76063766] |
[a1,a2,a3,a4,a6] |
Generators |
[2898485614690:583632546429559:71473375] |
Generators of the group modulo torsion |
j |
-50357871050752/19 |
j-invariant |
L |
4.2681907371281 |
L(r)(E,1)/r! |
Ω |
0.098907966756558 |
Real period |
R |
21.576577080153 |
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 |
931b3 171b3 |
Quadratic twists by: -3 -7 |