Atkin-Lehner |
2- 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
14400dd |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
157464000 = 26 · 39 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-135,0] |
[a1,a2,a3,a4,a6] |
Generators |
[16:44:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
4.6777904189966 |
L(r)(E,1)/r! |
Ω |
1.5384690853868 |
Real period |
R |
3.040548856931 |
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 |
14400dd1 7200d2 14400de1 14400dc1 |
Quadratic twists by: -4 8 -3 5 |