Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384cn |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-318031358922326016 = -1 · 233 · 311 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 1 2 11+ -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,43188,26911888] |
[a1,a2,a3,a4,a6] |
Generators |
[46570:1216512:125] |
Generators of the group modulo torsion |
j |
46617130799/1664188416 |
j-invariant |
L |
7.2400204795356 |
L(r)(E,1)/r! |
Ω |
0.23078529103431 |
Real period |
R |
3.9214048462513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013663 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120384br1 30096bj1 40128by1 |
Quadratic twists by: -4 8 -3 |