Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640ch |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
78429481170969600 = 210 · 312 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-148323,-17374322] |
[a1,a2,a3,a4,a6] |
j |
4108974916/893025 |
j-invariant |
L |
0.98813312889347 |
L(r)(E,1)/r! |
Ω |
0.24703328222337 |
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 |
35280bo2 5880p2 88200cv2 2520r2 |
Quadratic twists by: -4 -3 5 -7 |