Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472dj |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1392640 |
Modular degree for the optimal curve |
Δ |
380816978631262208 = 216 · 72 · 179 |
Discriminant |
Eigenvalues |
2- -2 2 7- 2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-268577,-44683553] |
[a1,a2,a3,a4,a6] |
Generators |
[9889:982072:1] |
Generators of the group modulo torsion |
j |
275684/49 |
j-invariant |
L |
6.420887234001 |
L(r)(E,1)/r! |
Ω |
0.21227346191531 |
Real period |
R |
7.5620464208678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000221642 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129472i1 32368d1 129472ce1 |
Quadratic twists by: -4 8 17 |