Atkin-Lehner |
2- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
43316j |
Isogeny class |
Conductor |
43316 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1006656 |
Modular degree for the optimal curve |
Δ |
-3444198273805850288 = -1 · 24 · 79 · 13 · 177 |
Discriminant |
Eigenvalues |
2- -1 -4 7- 3 13+ 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-890885,336041686] |
[a1,a2,a3,a4,a6] |
Generators |
[425:5831:1] [-238:23120:1] |
Generators of the group modulo torsion |
j |
-121111894294528/5334402749 |
j-invariant |
L |
6.1221450094144 |
L(r)(E,1)/r! |
Ω |
0.24822147637408 |
Real period |
R |
0.58723910394995 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43316n1 |
Quadratic twists by: -7 |