Atkin-Lehner |
2- 3- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090ct |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
786728132190000 = 24 · 310 · 54 · 7 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-74993,-7769743] |
[a1,a2,a3,a4,a6] |
Generators |
[-167:358:1] [-153:400:1] |
Generators of the group modulo torsion |
j |
63981281825140681/1079188110000 |
j-invariant |
L |
15.083248451355 |
L(r)(E,1)/r! |
Ω |
0.28879463165342 |
Real period |
R |
3.2642678391066 |
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 |
30030t3 |
Quadratic twists by: -3 |