Atkin-Lehner |
2+ 3+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9690d |
Isogeny class |
Conductor |
9690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2626328277900 = 22 · 314 · 52 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 2 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-116913,-15435207] |
[a1,a2,a3,a4,a6] |
j |
176733114283442193049/2626328277900 |
j-invariant |
L |
1.0327465393892 |
L(r)(E,1)/r! |
Ω |
0.2581866348473 |
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 |
77520cn2 29070bk2 48450bn2 |
Quadratic twists by: -4 -3 5 |