Atkin-Lehner |
2- 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080cb |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-86822092800 = -1 · 224 · 32 · 52 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,255,-14175] |
[a1,a2,a3,a4,a6] |
Generators |
[27:108:1] |
Generators of the group modulo torsion |
j |
6967871/331200 |
j-invariant |
L |
5.2732843772779 |
L(r)(E,1)/r! |
Ω |
0.51576770280018 |
Real period |
R |
2.5560365396323 |
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 |
22080bp1 5520y1 66240fb1 110400in1 |
Quadratic twists by: -4 8 -3 5 |