Atkin-Lehner |
2+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
24128k |
Isogeny class |
Conductor |
24128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-1537267264 = -1 · 26 · 134 · 292 |
Discriminant |
Eigenvalues |
2+ 2 2 0 -2 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1632,-24910] |
[a1,a2,a3,a4,a6] |
Generators |
[38554485:182504530:658503] |
Generators of the group modulo torsion |
j |
-7515714705472/24019801 |
j-invariant |
L |
8.5679415984529 |
L(r)(E,1)/r! |
Ω |
0.37547777512616 |
Real period |
R |
11.409385809285 |
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 |
24128l1 12064b2 |
Quadratic twists by: -4 8 |