Atkin-Lehner |
2- 3- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
48144m |
Isogeny class |
Conductor |
48144 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
1930961092608 = 222 · 33 · 172 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 4 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-153288,-23150988] |
[a1,a2,a3,a4,a6] |
Generators |
[2078:92928:1] |
Generators of the group modulo torsion |
j |
97250327148039625/471426048 |
j-invariant |
L |
6.6932255963028 |
L(r)(E,1)/r! |
Ω |
0.24128060070184 |
Real period |
R |
4.6234036061483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6018b1 |
Quadratic twists by: -4 |