Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768do |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1436942914813952 = -1 · 227 · 77 · 13 |
Discriminant |
Eigenvalues |
2- -1 0 7- -3 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,21887,-1338847] |
[a1,a2,a3,a4,a6] |
j |
37595375/46592 |
j-invariant |
L |
1.0265004990997 |
L(r)(E,1)/r! |
Ω |
0.25662512478392 |
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 |
40768bh1 10192r1 5824p1 |
Quadratic twists by: -4 8 -7 |