Atkin-Lehner |
2+ 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9048j |
Isogeny class |
Conductor |
9048 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
32779534187088 = 24 · 38 · 135 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -2 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-124547,-16957302] |
[a1,a2,a3,a4,a6] |
Generators |
[-203:39:1] |
Generators of the group modulo torsion |
j |
13353866478112073728/2048720886693 |
j-invariant |
L |
5.2718522575879 |
L(r)(E,1)/r! |
Ω |
0.25413819698421 |
Real period |
R |
0.51860093446671 |
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 |
18096f1 72384j1 27144u1 117624bt1 |
Quadratic twists by: -4 8 -3 13 |