Atkin-Lehner |
2- 3- 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090dd |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
7198938290757213000 = 23 · 38 · 53 · 78 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5670473,5197104897] |
[a1,a2,a3,a4,a6] |
Generators |
[-1435:102588:1] |
Generators of the group modulo torsion |
j |
27660114443410429586761/9875086818597000 |
j-invariant |
L |
10.964312197874 |
L(r)(E,1)/r! |
Ω |
0.2311590228585 |
Real period |
R |
0.49408231613816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986304 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030f4 |
Quadratic twists by: -3 |