Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35568bj |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-2212614144 = -1 · 212 · 37 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 0 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,-3494] |
[a1,a2,a3,a4,a6] |
Generators |
[23:18:1] |
Generators of the group modulo torsion |
j |
-1771561/741 |
j-invariant |
L |
3.7633997733778 |
L(r)(E,1)/r! |
Ω |
0.5359085137462 |
Real period |
R |
1.7556167129489 |
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 |
2223c1 11856bd1 |
Quadratic twists by: -4 -3 |