Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
32016bh |
Isogeny class |
Conductor |
32016 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-619285488 = -1 · 24 · 3 · 232 · 293 |
Discriminant |
Eigenvalues |
2- 3- -2 5 3 1 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,166,927] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:667:27] |
Generators of the group modulo torsion |
j |
31427449088/38705343 |
j-invariant |
L |
7.4861220597943 |
L(r)(E,1)/r! |
Ω |
1.0889561944137 |
Real period |
R |
1.1457641880971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8004b1 128064cp1 96048w1 |
Quadratic twists by: -4 8 -3 |