Atkin-Lehner |
2+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
40256k |
Isogeny class |
Conductor |
40256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
197777728 = 26 · 174 · 37 |
Discriminant |
Eigenvalues |
2+ 3 0 3 1 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-160,386] |
[a1,a2,a3,a4,a6] |
j |
7077888000/3090277 |
j-invariant |
L |
6.4391092676814 |
L(r)(E,1)/r! |
Ω |
1.6097773169592 |
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 |
40256y1 629c1 |
Quadratic twists by: -4 8 |