Atkin-Lehner |
3- 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23985k |
Isogeny class |
Conductor |
23985 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-13671894097265625 = -1 · 36 · 58 · 134 · 412 |
Discriminant |
Eigenvalues |
1 3- 5- -2 -6 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-811944,-281456267] |
[a1,a2,a3,a4,a6] |
Generators |
[3572:204089:1] |
Generators of the group modulo torsion |
j |
-81203493801081633409/18754312890625 |
j-invariant |
L |
5.3444273820243 |
L(r)(E,1)/r! |
Ω |
0.079521030150682 |
Real period |
R |
4.2004826992757 |
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 |
2665b2 119925bd2 |
Quadratic twists by: -3 5 |