Atkin-Lehner |
2+ 7- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
81872j |
Isogeny class |
Conductor |
81872 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-306244426544 = -1 · 24 · 72 · 173 · 433 |
Discriminant |
Eigenvalues |
2+ 3 -1 7- 4 -1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3118,-72109] |
[a1,a2,a3,a4,a6] |
Generators |
[23910:209321:216] |
Generators of the group modulo torsion |
j |
-209523172829184/19140276659 |
j-invariant |
L |
12.70011588658 |
L(r)(E,1)/r! |
Ω |
0.3177948932158 |
Real period |
R |
6.6605412045162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001171 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40936k1 |
Quadratic twists by: -4 |