Atkin-Lehner |
2- 3- 11+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24882be |
Isogeny class |
Conductor |
24882 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
1791504 = 24 · 33 · 11 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2334,-43596] |
[a1,a2,a3,a4,a6] |
Generators |
[228:3246:1] |
Generators of the group modulo torsion |
j |
1406170221939937/1791504 |
j-invariant |
L |
8.4887197462929 |
L(r)(E,1)/r! |
Ω |
0.68686819296615 |
Real period |
R |
4.1195287214351 |
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 |
74646u1 |
Quadratic twists by: -3 |