Atkin-Lehner |
2+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
16048k |
Isogeny class |
Conductor |
16048 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1408 |
Modular degree for the optimal curve |
Δ |
-272816 = -1 · 24 · 172 · 59 |
Discriminant |
Eigenvalues |
2+ -1 1 1 -4 2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55,-142] |
[a1,a2,a3,a4,a6] |
j |
-1171019776/17051 |
j-invariant |
L |
1.7489479105763 |
L(r)(E,1)/r! |
Ω |
0.87447395528814 |
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 |
8024h1 64192cp1 |
Quadratic twists by: -4 8 |