Atkin-Lehner |
2- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20240q |
Isogeny class |
Conductor |
20240 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1303868896000 = -1 · 28 · 53 · 116 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 11- -4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1661,61361] |
[a1,a2,a3,a4,a6] |
Generators |
[85:726:1] |
Generators of the group modulo torsion |
j |
-1980861374464/5093237875 |
j-invariant |
L |
6.9472085865197 |
L(r)(E,1)/r! |
Ω |
0.75900842985849 |
Real period |
R |
0.76275048616335 |
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 |
5060b2 80960by2 101200by2 |
Quadratic twists by: -4 8 5 |