Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150cd |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
835728534908437500 = 22 · 37 · 57 · 114 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-235917,-3210759] |
[a1,a2,a3,a4,a6] |
Generators |
[-302:6509:1] |
Generators of the group modulo torsion |
j |
127483771761289/73369857660 |
j-invariant |
L |
5.3776918181854 |
L(r)(E,1)/r! |
Ω |
0.2357077167584 |
Real period |
R |
1.425942870046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015178 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28050db3 16830cy4 |
Quadratic twists by: -3 5 |