Atkin-Lehner |
2- 3- 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22620k |
Isogeny class |
Conductor |
22620 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-135491806381052160 = -1 · 28 · 34 · 5 · 133 · 296 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14580,-17727660] |
[a1,a2,a3,a4,a6] |
Generators |
[3114:47817:8] |
Generators of the group modulo torsion |
j |
-1339017045088336/529264868675985 |
j-invariant |
L |
5.8613969900185 |
L(r)(E,1)/r! |
Ω |
0.14711758254965 |
Real period |
R |
6.6402633961629 |
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 |
90480bj4 67860n4 113100c4 |
Quadratic twists by: -4 -3 5 |