Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472i |
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 |
[1861215:26995904:3375] |
Generators of the group modulo torsion |
j |
275684/49 |
j-invariant |
L |
11.595360213728 |
L(r)(E,1)/r! |
Ω |
0.28665346462981 |
Real period |
R |
10.112698433132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037319 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129472dj1 16184b1 129472bg1 |
Quadratic twists by: -4 8 17 |