Atkin-Lehner |
3+ 7+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
19929b |
Isogeny class |
Conductor |
19929 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1182168351 = 34 · 7 · 134 · 73 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2757,-56844] |
[a1,a2,a3,a4,a6] |
Generators |
[2325:14879:27] |
Generators of the group modulo torsion |
j |
2317628675596753/1182168351 |
j-invariant |
L |
2.8944903360703 |
L(r)(E,1)/r! |
Ω |
0.65887471052796 |
Real period |
R |
4.3930815522589 |
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 |
59787c4 |
Quadratic twists by: -3 |