Atkin-Lehner |
2- 3- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9690v |
Isogeny class |
Conductor |
9690 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
564941535000 = 23 · 3 · 54 · 172 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-37180,-2762248] |
[a1,a2,a3,a4,a6] |
j |
5683980750786486721/564941535000 |
j-invariant |
L |
4.1257792148434 |
L(r)(E,1)/r! |
Ω |
0.34381493457028 |
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 |
77520bv4 29070k4 48450h4 |
Quadratic twists by: -4 -3 5 |