Atkin-Lehner |
2- 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16744g |
Isogeny class |
Conductor |
16744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-268969259173888 = -1 · 211 · 7 · 138 · 23 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2651,790806] |
[a1,a2,a3,a4,a6] |
j |
-1006057824354/131332646081 |
j-invariant |
L |
0.90298842352899 |
L(r)(E,1)/r! |
Ω |
0.4514942117645 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33488f3 117208r3 |
Quadratic twists by: -4 -7 |