Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
33150cf |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
800 |
Product of Tamagawa factors cp |
Δ |
-8.514901846462E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,198237,-442645983] |
[a1,a2,a3,a4,a6] |
Generators |
[858:18525:1] |
Generators of the group modulo torsion |
j |
55138849409108375/5449537181735712 |
j-invariant |
L |
9.6355571262066 |
L(r)(E,1)/r! |
Ω |
0.091008575822197 |
Real period |
R |
0.52937632740411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99450bd2 1326a2 |
Quadratic twists by: -3 5 |