Atkin-Lehner |
2- 3- 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090dl |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
8493855013163520 = 29 · 316 · 5 · 72 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1593932,774941519] |
[a1,a2,a3,a4,a6] |
Generators |
[669:2437:1] |
Generators of the group modulo torsion |
j |
614335054694415353209/11651378618880 |
j-invariant |
L |
11.316551724852 |
L(r)(E,1)/r! |
Ω |
0.38023270528277 |
Real period |
R |
0.82672704026407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991613 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030l2 |
Quadratic twists by: -3 |