Atkin-Lehner |
2- 3- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9690v |
Isogeny class |
Conductor |
9690 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
434175566400 = 26 · 32 · 52 · 174 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2500,-36400] |
[a1,a2,a3,a4,a6] |
j |
1728043200360001/434175566400 |
j-invariant |
L |
4.1257792148434 |
L(r)(E,1)/r! |
Ω |
0.68762986914057 |
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 |
77520bv2 29070k2 48450h2 |
Quadratic twists by: -4 -3 5 |