Atkin-Lehner |
2- 3- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16530z |
Isogeny class |
Conductor |
16530 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4072772460937500 = -1 · 22 · 32 · 512 · 19 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 6 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21596,-3306324] |
[a1,a2,a3,a4,a6] |
j |
-1113896720716014529/4072772460937500 |
j-invariant |
L |
3.247780479587 |
L(r)(E,1)/r! |
Ω |
0.18043224886595 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49590y3 82650d3 |
Quadratic twists by: -3 5 |