Atkin-Lehner |
2- 3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
19296m |
Isogeny class |
Conductor |
19296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-2694220517376 = -1 · 212 · 37 · 673 |
Discriminant |
Eigenvalues |
2- 3- 1 5 2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1428,76192] |
[a1,a2,a3,a4,a6] |
Generators |
[56:576:1] |
Generators of the group modulo torsion |
j |
107850176/902289 |
j-invariant |
L |
6.5748624391242 |
L(r)(E,1)/r! |
Ω |
0.59114475367828 |
Real period |
R |
2.7805636429206 |
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 |
19296f1 38592y1 6432c1 |
Quadratic twists by: -4 8 -3 |