Atkin-Lehner |
2+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9680d |
Isogeny class |
Conductor |
9680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
60363460889600 = 210 · 52 · 119 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 11+ -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26176,1595376] |
[a1,a2,a3,a4,a6] |
Generators |
[486:10170:1] |
Generators of the group modulo torsion |
j |
821516/25 |
j-invariant |
L |
5.8392142342967 |
L(r)(E,1)/r! |
Ω |
0.62104120024755 |
Real period |
R |
4.7011488384097 |
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 |
4840e2 38720cx2 87120br2 48400e2 |
Quadratic twists by: -4 8 -3 5 |