Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4046i |
Isogeny class |
Conductor |
4046 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
321705519632 = 24 · 72 · 177 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5401,151657] |
[a1,a2,a3,a4,a6] |
j |
721734273/13328 |
j-invariant |
L |
1.9318721215815 |
L(r)(E,1)/r! |
Ω |
0.96593606079074 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32368w1 129472b1 36414s1 101150o1 |
Quadratic twists by: -4 8 -3 5 |