Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560cj |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
186532892520786000 = 24 · 318 · 53 · 72 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-158781,12751956] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:3910:1] |
Generators of the group modulo torsion |
j |
27669547892867989504/11658305782549125 |
j-invariant |
L |
3.6136673366308 |
L(r)(E,1)/r! |
Ω |
0.28870054077038 |
Real period |
R |
4.1723364135814 |
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 |
7140j1 114240ka1 85680eu1 |
Quadratic twists by: -4 8 -3 |