Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600w |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
1091816010000000000 = 210 · 310 · 510 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-420408,-92230812] |
[a1,a2,a3,a4,a6] |
j |
513591322675396/68238500625 |
j-invariant |
L |
3.7827575173998 |
L(r)(E,1)/r! |
Ω |
0.18913787582485 |
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 |
25800x2 10320d2 |
Quadratic twists by: -4 5 |