Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296r |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
6430230493112844288 = 214 · 314 · 136 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -2 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1443900,656572304] |
[a1,a2,a3,a4,a6] |
Generators |
[-170:29952:1] |
Generators of the group modulo torsion |
j |
27873248949250000/538367795433 |
j-invariant |
L |
7.1660460099346 |
L(r)(E,1)/r! |
Ω |
0.23789082535183 |
Real period |
R |
2.5102712774664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999124939 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296cs1 15912l1 42432j1 |
Quadratic twists by: -4 8 -3 |