Atkin-Lehner |
2- 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24768cf |
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 |
[4106432:21966228:1331] |
Generators of the group modulo torsion |
j |
-9500554530751882177/199908972324 |
j-invariant |
L |
6.8744736300907 |
L(r)(E,1)/r! |
Ω |
0.18916798887145 |
Real period |
R |
4.5425719694324 |
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 |
24768bg1 6192y1 8256bg1 |
Quadratic twists by: -4 8 -3 |