Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
29760bb |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
148104806400 = 218 · 36 · 52 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10401,404415] |
[a1,a2,a3,a4,a6] |
Generators |
[51:96:1] |
Generators of the group modulo torsion |
j |
474734543401/564975 |
j-invariant |
L |
6.3841614380185 |
L(r)(E,1)/r! |
Ω |
1.0263887935138 |
Real period |
R |
0.51833521228042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29760bp2 465a2 89280cv2 |
Quadratic twists by: -4 8 -3 |