Atkin-Lehner |
2- 3- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
16536i |
Isogeny class |
Conductor |
16536 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
504278205876432 = 24 · 36 · 138 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22399,697970] |
[a1,a2,a3,a4,a6] |
Generators |
[143:663:1] |
Generators of the group modulo torsion |
j |
77679962564196352/31517387867277 |
j-invariant |
L |
4.8449909471679 |
L(r)(E,1)/r! |
Ω |
0.47424487701452 |
Real period |
R |
1.7027036670971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33072e1 49608g1 |
Quadratic twists by: -4 -3 |