Atkin-Lehner |
3- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15675x |
Isogeny class |
Conductor |
15675 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
19440 |
Modular degree for the optimal curve |
Δ |
-1606932421875 = -1 · 39 · 58 · 11 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 11+ -3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1737,-54108] |
[a1,a2,a3,a4,a6] |
Generators |
[27:99:1] |
Generators of the group modulo torsion |
j |
1483704815/4113747 |
j-invariant |
L |
3.0375143375213 |
L(r)(E,1)/r! |
Ω |
0.43382549229918 |
Real period |
R |
0.25932208460845 |
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 |
47025bq1 15675c1 |
Quadratic twists by: -3 5 |