Atkin-Lehner |
2+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
40256j |
Isogeny class |
Conductor |
40256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-675383607296 = -1 · 230 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 0 -3 -3 -5 6 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2764,-68496] |
[a1,a2,a3,a4,a6] |
j |
-8908363017/2576384 |
j-invariant |
L |
0.64873976396933 |
L(r)(E,1)/r! |
Ω |
0.32436988202794 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40256x1 1258d1 |
Quadratic twists by: -4 8 |