Atkin-Lehner |
2- 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
33150bk |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
-5.7364441326563E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4081338,-3378030969] |
[a1,a2,a3,a4,a6] |
Generators |
[5005:-321253:1] |
Generators of the group modulo torsion |
j |
-481184224995688814809/36713242449000000 |
j-invariant |
L |
6.6397294661367 |
L(r)(E,1)/r! |
Ω |
0.052877434467775 |
Real period |
R |
0.8720020717312 |
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 |
99450r4 6630k4 |
Quadratic twists by: -3 5 |