Atkin-Lehner |
2+ 3+ 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650b |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3842450156250000 = 24 · 34 · 510 · 192 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-165625,25703125] |
[a1,a2,a3,a4,a6] |
Generators |
[-375:6125:1] [5:4985:1] |
Generators of the group modulo torsion |
j |
32157735372954001/245916810000 |
j-invariant |
L |
6.9809511388149 |
L(r)(E,1)/r! |
Ω |
0.44372687165827 |
Real period |
R |
3.9331352148633 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16530bb2 |
Quadratic twists by: 5 |