Atkin-Lehner |
3- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
19239i |
Isogeny class |
Conductor |
19239 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.3563293920571E+19 |
Discriminant |
Eigenvalues |
1 3- 2 -2 11+ 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2095965,-1181488409] |
[a1,a2,a3,a4,a6] |
Generators |
[6910189:332219837:2197] |
Generators of the group modulo torsion |
j |
-431858355287003/5752160649 |
j-invariant |
L |
7.8549719878049 |
L(r)(E,1)/r! |
Ω |
0.06268727484725 |
Real period |
R |
10.442007577754 |
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 |
57717l2 19239j2 |
Quadratic twists by: -3 -11 |