Atkin-Lehner |
29+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
66439a |
Isogeny class |
Conductor |
66439 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
46991042359 = 296 · 79 |
Discriminant |
Eigenvalues |
1 1 -3 -1 2 3 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1700,24727] |
[a1,a2,a3,a4,a6] |
j |
912673/79 |
j-invariant |
L |
2.2100717677639 |
L(r)(E,1)/r! |
Ω |
1.1050358839016 |
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 |
79a1 |
Quadratic twists by: 29 |