Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22080ck |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-81106909839360 = -1 · 214 · 316 · 5 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -2 -2 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1125,433917] |
[a1,a2,a3,a4,a6] |
j |
-9619385344/4950372915 |
j-invariant |
L |
0.98661270576739 |
L(r)(E,1)/r! |
Ω |
0.49330635288371 |
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 |
22080bl1 5520h1 66240eo1 110400hz1 |
Quadratic twists by: -4 8 -3 5 |