Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
9680bc |
Isogeny class |
Conductor |
9680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
428717762000 = 24 · 53 · 118 |
Discriminant |
Eigenvalues |
2- 2 5- -4 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5485,154992] |
[a1,a2,a3,a4,a6] |
j |
643956736/15125 |
j-invariant |
L |
2.8226435532831 |
L(r)(E,1)/r! |
Ω |
0.94088118442771 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2420g1 38720cj1 87120ew1 48400cp1 |
Quadratic twists by: -4 8 -3 5 |