Atkin-Lehner |
2- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
89012x |
Isogeny class |
Conductor |
89012 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
25713646436597504 = 28 · 7 · 112 · 179 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 11- 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-165404,-24771164] |
[a1,a2,a3,a4,a6] |
j |
16484816/847 |
j-invariant |
L |
0.71247360771498 |
L(r)(E,1)/r! |
Ω |
0.23749118733977 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89012c2 |
Quadratic twists by: 17 |