Atkin-Lehner |
2- 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150eu |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
9.290839958928E+18 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3733777805,87816360598197] |
[a1,a2,a3,a4,a6] |
Generators |
[429267193:-205796280:12167] |
Generators of the group modulo torsion |
j |
505384091400037554067434625/815656731648 |
j-invariant |
L |
10.5301206851 |
L(r)(E,1)/r! |
Ω |
0.10469561851633 |
Real period |
R |
2.514460689397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000612 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28050n3 3366e3 |
Quadratic twists by: -3 5 |