Atkin-Lehner |
2- 3- 5+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
90270y |
Isogeny class |
Conductor |
90270 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-147116140536600 = -1 · 23 · 36 · 52 · 173 · 593 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8392,-505069] |
[a1,a2,a3,a4,a6] |
Generators |
[2870:54321:8] |
Generators of the group modulo torsion |
j |
89668751937479/201805405400 |
j-invariant |
L |
8.5057831960651 |
L(r)(E,1)/r! |
Ω |
0.30042803222543 |
Real period |
R |
4.7187025857853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000122 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
10030d2 |
Quadratic twists by: -3 |