Atkin-Lehner |
2- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16820c |
Isogeny class |
Conductor |
16820 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-68999505236000000 = -1 · 28 · 56 · 297 |
Discriminant |
Eigenvalues |
2- 0 5- -2 4 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,95033,-5707026] |
[a1,a2,a3,a4,a6] |
Generators |
[48514:3782775:8] |
Generators of the group modulo torsion |
j |
623331504/453125 |
j-invariant |
L |
4.6620299582969 |
L(r)(E,1)/r! |
Ω |
0.19487999073819 |
Real period |
R |
7.9741895523112 |
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 |
67280w2 84100b2 580b2 |
Quadratic twists by: -4 5 29 |