Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19266j |
Isogeny class |
Conductor |
19266 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-703201044529152 = -1 · 216 · 32 · 137 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6595,1291838] |
[a1,a2,a3,a4,a6] |
Generators |
[46595:866368:125] |
Generators of the group modulo torsion |
j |
-6570725617/145686528 |
j-invariant |
L |
5.1073232963809 |
L(r)(E,1)/r! |
Ω |
0.42694105464219 |
Real period |
R |
5.9812979342795 |
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 |
57798bo1 1482j1 |
Quadratic twists by: -3 13 |