Atkin-Lehner |
3+ 5- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
8835d |
Isogeny class |
Conductor |
8835 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
98701306875 = 32 · 54 · 19 · 314 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1412,13161] |
[a1,a2,a3,a4,a6] |
Generators |
[32:29:1] |
Generators of the group modulo torsion |
j |
311679542723401/98701306875 |
j-invariant |
L |
3.8119805470822 |
L(r)(E,1)/r! |
Ω |
0.98471924832168 |
Real period |
R |
1.9355671952078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26505e4 44175j4 |
Quadratic twists by: -3 5 |