Atkin-Lehner |
2- 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
14400dh |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-172800000000 = -1 · 214 · 33 · 58 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -4 -1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6000,-180000] |
[a1,a2,a3,a4,a6] |
Generators |
[78183:1100553:343] |
Generators of the group modulo torsion |
j |
-138240 |
j-invariant |
L |
4.8533617832523 |
L(r)(E,1)/r! |
Ω |
0.27110910780377 |
Real period |
R |
8.9509382819503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14400o1 3600e1 14400dg1 14400cu1 |
Quadratic twists by: -4 8 -3 5 |