Atkin-Lehner |
2- 3+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19266t |
Isogeny class |
Conductor |
19266 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
93600 |
Modular degree for the optimal curve |
Δ |
-1566751155364512 = -1 · 25 · 35 · 139 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 1 -3 13- -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,19178,-1598797] |
[a1,a2,a3,a4,a6] |
Generators |
[1591:62917:1] |
Generators of the group modulo torsion |
j |
73560059/147744 |
j-invariant |
L |
7.4822838029531 |
L(r)(E,1)/r! |
Ω |
0.24799069133689 |
Real period |
R |
3.0171631695597 |
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 |
57798x1 19266f1 |
Quadratic twists by: -3 13 |