Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19266k |
Isogeny class |
Conductor |
19266 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-77064 = -1 · 23 · 3 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -6 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-225,1276] |
[a1,a2,a3,a4,a6] |
Generators |
[10:2:1] |
Generators of the group modulo torsion |
j |
-7406396257/456 |
j-invariant |
L |
4.8182967188317 |
L(r)(E,1)/r! |
Ω |
3.2590779465678 |
Real period |
R |
1.4784232834646 |
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 |
57798bp1 19266w1 |
Quadratic twists by: -3 13 |