Atkin-Lehner |
2- 3- 7- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
76986bk |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
878080 |
Modular degree for the optimal curve |
Δ |
-67904097800876064 = -1 · 25 · 37 · 7 · 137 · 472 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -5 13+ 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6079,12534513] |
[a1,a2,a3,a4,a6] |
j |
34084708870967/93146910563616 |
j-invariant |
L |
5.4560499760207 |
L(r)(E,1)/r! |
Ω |
0.2728024970631 |
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 |
25662h1 |
Quadratic twists by: -3 |