Atkin-Lehner |
2- 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
40896by |
Isogeny class |
Conductor |
40896 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
1821107914945855488 = 245 · 36 · 71 |
Discriminant |
Eigenvalues |
2- 3- 2 3 6 5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1512684,713145168] |
[a1,a2,a3,a4,a6] |
j |
2003092024307193/9529458688 |
j-invariant |
L |
4.779647174166 |
L(r)(E,1)/r! |
Ω |
0.26553595412396 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40896o1 10224s1 4544m1 |
Quadratic twists by: -4 8 -3 |