Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600w |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
664614914400000000 = 211 · 35 · 58 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6495408,-6373780812] |
[a1,a2,a3,a4,a6] |
j |
947094050118111698/20769216075 |
j-invariant |
L |
3.7827575173998 |
L(r)(E,1)/r! |
Ω |
0.094568937912424 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25800x4 10320d3 |
Quadratic twists by: -4 5 |