Atkin-Lehner |
2- 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
33150bk |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
41387112000000000 = 212 · 34 · 59 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4153338,-3259662969] |
[a1,a2,a3,a4,a6] |
Generators |
[-1179:623:1] |
Generators of the group modulo torsion |
j |
507102228823216499929/2648775168000 |
j-invariant |
L |
6.6397294661367 |
L(r)(E,1)/r! |
Ω |
0.10575486893555 |
Real period |
R |
1.7440041434624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99450r3 6630k3 |
Quadratic twists by: -3 5 |