Atkin-Lehner |
2- 3+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
48144i |
Isogeny class |
Conductor |
48144 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
215424 |
Modular degree for the optimal curve |
Δ |
-5623362562818048 = -1 · 229 · 3 · 17 · 593 |
Discriminant |
Eigenvalues |
2- 3+ -2 3 -2 -2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17136,-3508800] |
[a1,a2,a3,a4,a6] |
Generators |
[158422:599474:1331] |
Generators of the group modulo torsion |
j |
135852232716143/1372891250688 |
j-invariant |
L |
4.046637963976 |
L(r)(E,1)/r! |
Ω |
0.21097932509714 |
Real period |
R |
9.5901291800042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6018l1 |
Quadratic twists by: -4 |