Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35520u |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
16367616000 = 217 · 33 · 53 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21312001,37861950815] |
[a1,a2,a3,a4,a6] |
j |
8167450100737631904002/124875 |
j-invariant |
L |
2.5980243584232 |
L(r)(E,1)/r! |
Ω |
0.43300405973912 |
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 |
35520bp4 4440g4 106560ck4 |
Quadratic twists by: -4 8 -3 |