Atkin-Lehner |
2- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
102080bo |
Isogeny class |
Conductor |
102080 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-647583760384000 = -1 · 227 · 53 · 113 · 29 |
Discriminant |
Eigenvalues |
2- -2 5- 1 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61665,5999263] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:2560:1] |
Generators of the group modulo torsion |
j |
-98925223576249/2470336000 |
j-invariant |
L |
4.7922131405767 |
L(r)(E,1)/r! |
Ω |
0.51113068153098 |
Real period |
R |
0.78130918509549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999695453 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102080t2 25520n2 |
Quadratic twists by: -4 8 |