Atkin-Lehner |
2+ 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77658o |
Isogeny class |
Conductor |
77658 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1543872 |
Modular degree for the optimal curve |
Δ |
84435558805389624 = 23 · 3 · 7 · 439 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 4 -5 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-667528,209397374] |
[a1,a2,a3,a4,a6] |
j |
65450827/168 |
j-invariant |
L |
0.68439899769838 |
L(r)(E,1)/r! |
Ω |
0.34219953236499 |
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 |
77658z1 |
Quadratic twists by: -43 |