Atkin-Lehner |
2- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9680u |
Isogeny class |
Conductor |
9680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-348913664000 = -1 · 221 · 53 · 113 |
Discriminant |
Eigenvalues |
2- 1 5- 3 11+ 0 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3120,-73900] |
[a1,a2,a3,a4,a6] |
Generators |
[370:7040:1] |
Generators of the group modulo torsion |
j |
-616295051/64000 |
j-invariant |
L |
5.9542799895229 |
L(r)(E,1)/r! |
Ω |
0.31752318706405 |
Real period |
R |
0.78134451174242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1210k1 38720bq1 87120dv1 48400bm1 |
Quadratic twists by: -4 8 -3 5 |