Atkin-Lehner |
2- 3- 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
28380f |
Isogeny class |
Conductor |
28380 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
153792 |
Modular degree for the optimal curve |
Δ |
-3151898130308400 = -1 · 24 · 318 · 52 · 11 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26025,3138948] |
[a1,a2,a3,a4,a6] |
Generators |
[768:-20898:1] |
Generators of the group modulo torsion |
j |
-121840769029881856/196993633144275 |
j-invariant |
L |
6.3811462559728 |
L(r)(E,1)/r! |
Ω |
0.40229928837235 |
Real period |
R |
0.88120495257675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113520bd1 85140g1 |
Quadratic twists by: -4 -3 |