Atkin-Lehner |
2- 3+ 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
41208d |
Isogeny class |
Conductor |
41208 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-1176631474176 = -1 · 211 · 39 · 172 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 1 -4 4 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4080,114444] |
[a1,a2,a3,a4,a6] |
Generators |
[85:612:1] |
Generators of the group modulo torsion |
j |
-3668433827042/574527087 |
j-invariant |
L |
5.2019435516111 |
L(r)(E,1)/r! |
Ω |
0.8358897935397 |
Real period |
R |
3.111620450337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82416e1 123624c1 |
Quadratic twists by: -4 -3 |