Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984da |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
262656 |
Modular degree for the optimal curve |
Δ |
-10856554190340096 = -1 · 231 · 3 · 73 · 173 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 1 -5 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54280,6969332] |
[a1,a2,a3,a4,a6] |
j |
-12589171852447/7727480832 |
j-invariant |
L |
2.9974320091147 |
L(r)(E,1)/r! |
Ω |
0.37467900114736 |
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 |
4998d1 119952gj1 39984cd1 |
Quadratic twists by: -4 -3 -7 |