Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1428d |
Isogeny class |
Conductor |
1428 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
216 |
Modular degree for the optimal curve |
Δ |
873936 = 24 · 33 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57,-180] |
[a1,a2,a3,a4,a6] |
j |
1302642688/54621 |
j-invariant |
L |
2.6092269352146 |
L(r)(E,1)/r! |
Ω |
1.7394846234764 |
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 |
5712k1 22848l1 4284i1 35700e1 |
Quadratic twists by: -4 8 -3 5 |