Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080bl |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
16 |
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] |
Generators |
[198:2673:1] |
Generators of the group modulo torsion |
j |
-9619385344/4950372915 |
j-invariant |
L |
7.6344038534494 |
L(r)(E,1)/r! |
Ω |
0.27356378047723 |
Real period |
R |
1.7442010781113 |
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 |
22080ck1 2760e1 66240ca1 110400bi1 |
Quadratic twists by: -4 8 -3 5 |