Atkin-Lehner |
3- 7- 29- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
129717d |
Isogeny class |
Conductor |
129717 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3166066485011619 = 322 · 72 · 29 · 71 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -4 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-90221,10095666] |
[a1,a2,a3,a4,a6] |
j |
111407538904292233/4343026728411 |
j-invariant |
L |
0.88972934024799 |
L(r)(E,1)/r! |
Ω |
0.44486501955327 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43239b2 |
Quadratic twists by: -3 |