Atkin-Lehner |
2- 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
14400dk |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-864000000000 = -1 · 214 · 33 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1500,-50000] |
[a1,a2,a3,a4,a6] |
Generators |
[56:204:1] |
Generators of the group modulo torsion |
j |
-432 |
j-invariant |
L |
4.5598520835833 |
L(r)(E,1)/r! |
Ω |
0.35838348267232 |
Real period |
R |
3.1808469865731 |
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 |
14400r1 3600j1 14400dl1 14400di1 |
Quadratic twists by: -4 8 -3 5 |