Atkin-Lehner |
2- 3+ 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90480bj |
Isogeny class |
Conductor |
90480 |
Conductor |
∏ cp |
12 |
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] |
j |
-1339017045088336/529264868675985 |
j-invariant |
L |
3.1953061365669 |
L(r)(E,1)/r! |
Ω |
0.26627551776919 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22620k4 |
Quadratic twists by: -4 |