Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
9680z |
Isogeny class |
Conductor |
9680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-39649280 = -1 · 216 · 5 · 112 |
Discriminant |
Eigenvalues |
2- 1 5- -3 11- 0 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,-332] |
[a1,a2,a3,a4,a6] |
j |
-14641/80 |
j-invariant |
L |
1.7027591567601 |
L(r)(E,1)/r! |
Ω |
0.85137957838003 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1210f1 38720cd1 87120eq1 48400cb1 |
Quadratic twists by: -4 8 -3 5 |