Atkin-Lehner |
3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16905z |
Isogeny class |
Conductor |
16905 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-6291427409780625 = -1 · 312 · 54 · 77 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 4 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,23470,-3554475] |
[a1,a2,a3,a4,a6] |
j |
12152722588271/53476250625 |
j-invariant |
L |
2.5685467475892 |
L(r)(E,1)/r! |
Ω |
0.2140455622991 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50715bb3 84525r3 2415a4 |
Quadratic twists by: -3 5 -7 |