Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984cy |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-1733388926976 = -1 · 219 · 34 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -2 0 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7072,-239884] |
[a1,a2,a3,a4,a6] |
j |
-3977954113/176256 |
j-invariant |
L |
2.0770424797985 |
L(r)(E,1)/r! |
Ω |
0.25963030998519 |
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 |
4998bb1 119952dr1 39984bw1 |
Quadratic twists by: -4 -3 -7 |