Atkin-Lehner |
2+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
40256o |
Isogeny class |
Conductor |
40256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
211200 |
Modular degree for the optimal curve |
Δ |
-5532742510968832 = -1 · 243 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 2 2 1 -2 1 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40737,-4763743] |
[a1,a2,a3,a4,a6] |
Generators |
[10642648504579:-150958292729856:29993266043] |
Generators of the group modulo torsion |
j |
-28520791922377/21105737728 |
j-invariant |
L |
10.319716920178 |
L(r)(E,1)/r! |
Ω |
0.16277026626409 |
Real period |
R |
15.850126004331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40256ba1 1258c1 |
Quadratic twists by: -4 8 |