Atkin-Lehner |
2+ 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
16704j |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8887040565313536 = 229 · 39 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18873324,-31558816080] |
[a1,a2,a3,a4,a6] |
j |
144091275020705979/1722368 |
j-invariant |
L |
3.6216581982553 |
L(r)(E,1)/r! |
Ω |
0.072433163965106 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16704bz2 522g2 16704c2 |
Quadratic twists by: -4 8 -3 |