Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67032ck |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
612864 |
Modular degree for the optimal curve |
Δ |
-9014549008663296 = -1 · 28 · 38 · 710 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 4 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-201684,35160244] |
[a1,a2,a3,a4,a6] |
j |
-17210368/171 |
j-invariant |
L |
1.6521889019867 |
L(r)(E,1)/r! |
Ω |
0.41304722554557 |
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 |
22344w1 67032by1 |
Quadratic twists by: -3 -7 |