Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222g |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
651520152119826 = 2 · 38 · 112 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11+ 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-473436,-125259098] |
[a1,a2,a3,a4,a6] |
j |
666940371553/37026 |
j-invariant |
L |
2.9120955570443 |
L(r)(E,1)/r! |
Ω |
0.18200597215998 |
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 |
19074x2 3366i2 |
Quadratic twists by: -3 17 |