Atkin-Lehner |
2+ 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
24768bg |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1167360 |
Modular degree for the optimal curve |
Δ |
-3.8203199540218E+19 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 -1 -1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25415436,-49317647888] |
[a1,a2,a3,a4,a6] |
Generators |
[1659991313080058:-13492486528300224:283722907411] |
Generators of the group modulo torsion |
j |
-9500554530751882177/199908972324 |
j-invariant |
L |
6.222164037769 |
L(r)(E,1)/r! |
Ω |
0.033619760835122 |
Real period |
R |
23.134325926216 |
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 |
24768cf1 774c1 8256y1 |
Quadratic twists by: -4 8 -3 |