Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12144bd |
Isogeny class |
Conductor |
12144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-203742511104 = -1 · 228 · 3 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1112,25620] |
[a1,a2,a3,a4,a6] |
Generators |
[2541:23590:27] |
Generators of the group modulo torsion |
j |
-37159393753/49741824 |
j-invariant |
L |
6.2182219505502 |
L(r)(E,1)/r! |
Ω |
0.90431743449969 |
Real period |
R |
6.8761495834595 |
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 |
1518f1 48576cq1 36432cs1 |
Quadratic twists by: -4 8 -3 |