Atkin-Lehner |
5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
205a |
Isogeny class |
Conductor |
205 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16015625 = 58 · 41 |
Discriminant |
Eigenvalues |
-1 0 5- -4 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-232,-1286] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:6:1] |
Generators of the group modulo torsion |
j |
1375407924561/16015625 |
j-invariant |
L |
0.98123969640841 |
L(r)(E,1)/r! |
Ω |
1.2245586432739 |
Real period |
R |
0.40065034933118 |
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 |
3280m3 13120l3 1845c3 1025b3 |
Quadratic twists by: -4 8 -3 5 |