Atkin-Lehner |
2- 3+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
44676d |
Isogeny class |
Conductor |
44676 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19872 |
Modular degree for the optimal curve |
Δ |
-6253210368 = -1 · 28 · 39 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -2 3 2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-216,-3996] |
[a1,a2,a3,a4,a6] |
Generators |
[21:27:1] |
Generators of the group modulo torsion |
j |
-221184/1241 |
j-invariant |
L |
6.1623949665396 |
L(r)(E,1)/r! |
Ω |
0.55891506034478 |
Real period |
R |
1.8376062851555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44676h1 |
Quadratic twists by: -3 |