Atkin-Lehner |
2- 3+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
16356d |
Isogeny class |
Conductor |
16356 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2856 |
Modular degree for the optimal curve |
Δ |
1897296 = 24 · 3 · 292 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 4 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37,70] |
[a1,a2,a3,a4,a6] |
j |
359661568/118581 |
j-invariant |
L |
3.6411720067689 |
L(r)(E,1)/r! |
Ω |
2.4274480045126 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65424p1 49068b1 |
Quadratic twists by: -4 -3 |