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 |
2587083338340508176 = 24 · 32 · 1310 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-344595,-8599394] |
[a1,a2,a3,a4,a6] |
Generators |
[-268:8166:1] |
Generators of the group modulo torsion |
j |
937537615877617/535982123664 |
j-invariant |
L |
5.1073232963809 |
L(r)(E,1)/r! |
Ω |
0.21347052732109 |
Real period |
R |
5.9812979342795 |
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 |
57798bo3 1482j3 |
Quadratic twists by: -3 13 |