Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19266j |
Isogeny class |
Conductor |
19266 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6106312195266816 = 28 · 34 · 138 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-222915,40315966] |
[a1,a2,a3,a4,a6] |
Generators |
[-220:8982:1] |
Generators of the group modulo torsion |
j |
253792437805297/1265082624 |
j-invariant |
L |
5.1073232963809 |
L(r)(E,1)/r! |
Ω |
0.42694105464219 |
Real period |
R |
2.9906489671398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57798bo2 1482j2 |
Quadratic twists by: -3 13 |