Atkin-Lehner |
2- 3- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090ct |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
131976626942160 = 24 · 37 · 5 · 74 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-128273,17706161] |
[a1,a2,a3,a4,a6] |
Generators |
[-3306:2585:8] [-267:5866:1] |
Generators of the group modulo torsion |
j |
320183365773103561/181037897040 |
j-invariant |
L |
15.083248451355 |
L(r)(E,1)/r! |
Ω |
0.57758926330684 |
Real period |
R |
0.81606695977665 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999657 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030t4 |
Quadratic twists by: -3 |