Atkin-Lehner |
2- 3+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
44676i |
Isogeny class |
Conductor |
44676 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-8577792 = -1 · 28 · 33 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 2 -3 4 -4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4765344,-4003957868] |
[a1,a2,a3,a4,a6] |
j |
-1731421289741661241344/1241 |
j-invariant |
L |
1.6349179918525 |
L(r)(E,1)/r! |
Ω |
0.051091187239997 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44676e1 |
Quadratic twists by: -3 |